JEE Main & Advanced Mathematics Probability Question Bank

done Self Evaluation Test - Probability-I Total Questions - 60

• question_answer1)
  If A and B are two events. The probability that at most one of A, B occurs, is
  A)
  \[1-P(A\cap B)\] done clear
  B)
  \[P(\bar{A})+P(\bar{B})-P(\bar{A}\cap \bar{B})\] done clear
  C)
  \[P(\bar{A})+P(\bar{B})+P(A\cup B)-1\] done clear
  D)
  All of these done clear
  View Solution play_arrow

• question_answer2)
  Amar, Bimal and Chetan are three contestants for an election, odds against Amar will win is 4 : 1 and odds against Bimal will win is 5 : 1 and odds in favor of Chetan will win 2 : 3 the what is probability that either Amar or Bimal or Chetan will win the election.
  A)
  \[23/20\] done clear
  B)
  \[11/30\] done clear
  C)
  \[7/10\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer3)
  In a knock out chess tournament, eight players \[{{P}_{1}},\,\,{{P}_{2}},...{{P}_{8}}\] Participated. It is known that whenever the players \[{{P}_{i}}\] and \[{{P}_{j}}\] play, the player's \[{{P}_{i}}\] will win j if \[i<j\]. Assuming that the players are parried at random in each round, what is the probability that the players \[{{P}_{4}}\] reaches the final?
  A)
  31/35 done clear
  B)
  4/35 done clear
  C)
  8/35 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer4)
  In a series of 3 one -day cricket matches between teams A and B of a collage, the probability of team A winning or drawing are 1/3 and 1/6 respectively. If a win, lose or draw gives 2, 0 and 1 point respectively, then what is the probability that team A will score 5 points in the series?
  A)
  \[\frac{17}{18}\] done clear
  B)
  \[\frac{11}{12}\] done clear
  C)
  \[\frac{1}{12}\] done clear
  D)
  \[\frac{1}{18}\] done clear
  View Solution play_arrow

• question_answer5)
  A certain type of missile hits the target with probability p=0.3. What is the least number of missiles should be fired so that there is at least an 80% probability that the target is hit?
  A)
  5 done clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer6)
  In a relay race, there are six teams A, B, C, D, E and F. what is the probability that A, B, C finish first, second, third respectively?
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{1}{12}\] done clear
  C)
  \[\frac{1}{60}\] done clear
  D)
  \[\frac{1}{120}\] done clear
  View Solution play_arrow

• question_answer7)
  A cricket club has 15 members, of whom only 5 can bowl. If the name of 15 members are put into a box and 11 are drawn at random, then the probability of getting an eleven contain at least 3 bowlers is
  A)
  7/13      done clear
  B)
  6/13 done clear
  C)
  11/15 done clear
  D)
  12/13 done clear
  View Solution play_arrow

• question_answer8)
  If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is:
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{5}\] done clear
  C)
  \[\frac{1}{10}\] done clear
  D)
  \[\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer9)
  Four persons are selected at random out of 3 men, 2 women and 4 children. Find the probability that there exactly 2 children in the selection.
  A)
  \[\frac{11}{21}\] done clear
  B)
  \[\frac{8}{21}\] done clear
  C)
  \[\frac{10}{21}\] done clear
  D)
  \[\frac{7}{21}\] done clear
  View Solution play_arrow

• question_answer10)
  If A, B, C are events such that \[P(A)=0.3,P(B)=0.4,P(C)=0.8,P(A\cap B)\]\[=0.08,P(A\cap C)=0.28\] \[P(A\cap B\cap C)=0.09\]. If \[P(A\cup B\cup C)\ge 0.75\] then find the range of \[x=P(B\cap C)\] lies in the interval
  A)
  \[0.23\le x\le 0.48\] done clear
  B)
  \[0.23\le x\le 0.47\] done clear
  C)
  \[0.22\le x\le 0.48\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer11)
  A coin is tossed three times. Consider the following events:

  A: No head appears

  B: Exactly one head appears

  C: At least two heads appear

  Which one of the following is correct?

  A)
  \[(A\cup B)\cap (A\cup C)=B\cup C\] done clear
  B)
  \[(A\cap B')\cup (A\cap C')=B'\cup C'\] done clear
  C)
  \[A\cap (B'\cup C')=A\cup B\cup C\] done clear
  D)
  \[A\cap (B'\cup C')=B'\cap C'\] done clear
  View Solution play_arrow

• question_answer12)
  What is the number of outcomes when a coin is tossed and then a die is rolled only in case a head is shown on the coin?
  A)
  6 done clear
  B)
  7 done clear
  C)
  8 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer13)
  A car is parked by an owner amongst 25 cars in a row, not at either end. On his return he finds that exactly 15 places are still occupied. The probability that the neighboring places are empty is
  A)
  \[\frac{91}{276}\] done clear
  B)
  \[\frac{15}{184}\] done clear
  C)
  \[\frac{15}{92}\] done clear
  D)
  None done clear
  View Solution play_arrow

• question_answer14)
  A natural number x is chosen at random from the first 100 natural numbers. Then the probability, for the equation \[x+\frac{100}{x}>50\] is
  A)
  \[\frac{1}{20}\] done clear
  B)
  \[\frac{11}{20}\] done clear
  C)
  \[\frac{1}{3}\] done clear
  D)
  \[\frac{3}{20}\] done clear
  View Solution play_arrow

• question_answer15)
  If n objects are distributed at random among n persons, the probability that at least one of them will not get anything is
  A)
  \[1-\frac{(n-1)!}{{{n}^{n-1}}}\] done clear
  B)
  \[\frac{(n-1)!}{{{n}^{n}}}\] done clear
  C)
  \[1-\frac{(n-1)!}{{{n}^{2}}}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer16)
  If the papers of 4 students can be checked by any one of the 7 teachers, then the probability that all the 4 papers are checked by exactly 2 teachers is
  A)
  2/7 done clear
  B)
  12/49 done clear
  C)
  32/343 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer17)
  \[{{x}_{1}},{{x}_{2}},{{x}_{3}},...{{x}_{50}}\] are fifty real numbers such that \[{{x}_{r}}<{{x}_{r+1}}\] for \[r=1,2,3....49.\] Five numbers out of these are picked up at random. The probability that the numbers have \[{{x}_{20}}\] as the middle numbers, is
  A)
  \[\frac{^{20}{{C}_{2}}{{\times }^{30}}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  B)
  \[\frac{^{30}{{C}_{2}}{{\times }^{19}}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  C)
  \[\frac{^{19}{{C}_{2}}{{\times }^{31}}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer18)
  A machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?
  A)
  0.06 done clear
  B)
  0.16 done clear
  C)
  0.84 done clear
  D)
  0.94 done clear
  View Solution play_arrow

• question_answer19)
  For two mutually exclusive events A and B, \[P(A)=0.2\] and \[P(\bar{A}\bigcap B)=0.3.\] What is \[P(A|(A\bigcup B))\] equal to?
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{2}{5}\] done clear
  C)
  \[\frac{2}{7}\] done clear
  D)
  \[\frac{2}{3}\] done clear
  View Solution play_arrow

• question_answer20)
  Two numbers are successively drawn from the set\[U=\{1,2,3,4,5,6,7,8\}\], the second being drawn without replacing the first. The number of elementary events in the sample is:
  A)
  64 done clear
  B)
  56 done clear
  C)
  32 done clear
  D)
  14 done clear
  View Solution play_arrow

• question_answer21)
  An aircraft has three engines A, B, and C. The aircraft crashes if all the three engines fail. The probability of failure are \[0.06,0.02\] and \[0.05\] for engines A, B and C respectively. What is the probability that the aircraft will not crash?
  A)
  \[0.00003\] done clear
  B)
  \[0.90\] done clear
  C)
  \[0.99997\] done clear
  D)
  \[0.90307\]   done clear
  View Solution play_arrow

• question_answer22)
  Let A, B, C be the events. If the probability of occurring exactly one event out of A and B is 1-a. out of B and C and A is 1-a and that of occurring three events simultaneously is \[{{a}^{2}}\], then the probability that at least one out of A, B, C will occur is
  A)
  ½ done clear
  B)
  Greater than ½ done clear
  C)
  Less than ½ done clear
  D)
  \[Greater\text{ }than\,\,{\scriptscriptstyle 3\!/\!{ }_4}\] done clear
  View Solution play_arrow

• question_answer23)
  The probability that the birth days of six different persons will fall in exactly two calendar months is
  A)
  \[\frac{1}{6}\] done clear
  B)
  \[^{12}{{C}_{2}}\times \frac{{{2}^{6}}}{{{12}^{6}}}\] done clear
  C)
  \[^{12}{{C}_{2}}\times \frac{{{2}^{6}}-1}{{{12}^{6}}}\] done clear
  D)
  \[\frac{341}{{{12}^{5}}}\] done clear
  View Solution play_arrow

• question_answer24)
  If a and b are chosen randomly from the set consisting of numbers 1, 2, 3, 4, 5, 6, with replacement. Then the probability that \[\underset{x\to 0}{\mathop{\lim }}\,{{[({{a}^{x}}+{{b}^{x}})/2]}^{2/x}}=6\] is
  A)
  1/3 done clear
  B)
  1/4 done clear
  C)
  1/9 done clear
  D)
  2/9 done clear
  View Solution play_arrow

• question_answer25)
  A box contains 10 identical electronic components of which 4 are defective. If 3 components are selected at random form the box, in succession, without replacing the units already drawn, what is the probability that two of the selected components are defective?
  A)
  1/5 done clear
  B)
  5/24 done clear
  C)
  3/10 done clear
  D)
  1/40 done clear
  View Solution play_arrow

• question_answer26)
  In four schools \[{{B}_{1}},{{B}_{2}},{{B}_{3}},{{B}_{4}}\] the percentage of girls students is 12, 20, 13, 17 respectively, From a school selected at random, one student is pick up at random and it is found that the student is girl, the probability that the school selected is  \[{{B}_{2,}}\]is
  A)
  \[\frac{6}{31}\] done clear
  B)
  \[\frac{10}{31}\] done clear
  C)
  \[\frac{13}{62}\] done clear
  D)
  \[\frac{17}{62}\] done clear
  View Solution play_arrow

• question_answer27)
  Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals.
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{7}{15}\] done clear
  C)
  \[\frac{2}{15}\] done clear
  D)
  \[\frac{1}{3}\] done clear
  View Solution play_arrow

• question_answer28)
  Three persons A, B and C are to speak at a function along with five others. If they all speak in random order, the probability that A speaks before B and B speaks before C, is
  A)
  \[\frac{3}{8}\] done clear
  B)
  \[\frac{1}{6}\] done clear
  C)
  \[\frac{3}{5}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer29)
  Consider a set P containing n elements. A subset A or P is drawn and there after set P is reconstructed. Now one more subset B of P is drawn probability of drawing sets A and B so that \[A\cap B\] has exactly one element is
  A)
  \[{{(3/4)}^{n}}\cdot \,n\] done clear
  B)
  \[n\,\,\cdot \,\,{{(3/4)}^{n-1}}\] done clear
  C)
  \[(n-1)\cdot {{(3/4)}^{n}}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer30)
  Three digits are chosen at random from 1, 2, 3, 4, 5, 6, 7, 8 and 9 without repeating any digit. What is the probability that the product is odd?
  A)
  \[\frac{2}{3}\] done clear
  B)
  \[\frac{7}{48}\] done clear
  C)
  \[\frac{5}{42}\] done clear
  D)
  \[\frac{5}{108}\] done clear
  View Solution play_arrow

• question_answer31)
  If four dice are thrown together, then what is the probability that the sum of the numbers appearing on them is 25?
  A)
  0 done clear
  B)
  1/2 done clear
  C)
  1 done clear
  D)
  1/1296 done clear
  View Solution play_arrow

• question_answer32)
  From past experience it is known that an investor will invest in security A with a probability of 0.6, will invest in security B with a probability 0.3 and will invest in both A and B with a probability of 0.2 what is the probability that an investor will invest neither in A nor in B?
  A)
  0.7 done clear
  B)
  0.28 done clear
  C)
  0.3 done clear
  D)
  0.4   done clear
  View Solution play_arrow

• question_answer33)
  Let X be a set containing n elements. If two subsets A and B of X are picked at random, the probability that A and B have the same number of elements, is
  A)
  \[\frac{^{2n}{{C}_{n}}}{{{2}^{2n}}}\] done clear
  B)
  \[\frac{1}{^{2n}{{C}_{n}}}\] done clear
  C)
  \[\frac{1\cdot 3\cdot 5...(2n+1)}{{{2}^{n}}n!}\] done clear
  D)
  \[\frac{{{3}^{n}}}{{{4}^{n}}}\] done clear
  View Solution play_arrow

• question_answer34)
  A bag contains 50 tickets numbered 1, 2, 3, ?, 50 of which five are drawn at random and arranged in ascending order of magnitude \[({{x}_{1}}<{{x}_{2}}<{{x}_{3}}<{{x}_{4}}<{{x}_{5}}).\] The probability that \[{{x}_{3}}=30\] is
  A)
  \[\frac{^{20}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  B)
  \[\frac{^{2}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  C)
  \[\frac{^{20}{{C}_{2}}{{\times }^{29}}{{C}_{2}}}{^{50}{{C}_{5}}}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer35)
  3 integers are chosen at random from the set of first 20 natural numbers. The chance that their product is a multiple of 3, is.
  A)
  \[\frac{194}{285}\] done clear
  B)
  \[\frac{1}{57}\] done clear
  C)
  \[\frac{13}{19}\] done clear
  D)
  \[\frac{3}{4}\] done clear
  View Solution play_arrow

• question_answer36)
  For the three events A, B and C, P (exactly one of the events A or B occurs)=P (exactly one of the two events B or C occurs)=P(exactly one of the events C or A occurs)=P and P (all the three events occur simultaneously)\[={{P}^{2}}\], where 0<p<1/2. Then the probability of at least one of the three events A, B and C occurring is
  A)
  \[\frac{3p+2{{p}^{2}}}{2}\] done clear
  B)
  \[\frac{p+3{{p}^{2}}}{4}\] done clear
  C)
  \[\frac{p+3{{p}^{2}}}{2}\] done clear
  D)
  \[\frac{3p+2{{p}^{2}}}{4}\] done clear
  View Solution play_arrow

• question_answer37)
  There is a five-volume dictionary among 50 books arranged on a shelf in random order. If the volumes are not  necessarily kept side by side, the probability that they occur in increasing order from left to right is:
  A)
  \[\frac{1}{5}\] done clear
  B)
  \[\frac{1}{{{5}^{50}}}\] done clear
  C)
  \[\frac{1}{{{50}^{5}}}\] done clear
  D)
  None of these   done clear
  View Solution play_arrow

• question_answer38)
  Two events A and B are such that P(not B) = 0.8, \[P(A\cup B)=0.5\] and \[P(A|B)=0.4.\] Then Pis equal to
  A)
  0.28 done clear
  B)
  0.32 done clear
  C)
  0.38 done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer39)
  Two dice are thrown. What is the probability that the sum of the faces equals or exceeds 10?
  A)
  1/12 done clear
  B)
  ¼ done clear
  C)
  1/3 done clear
  D)
  1/6 done clear
  View Solution play_arrow

• question_answer40)
  The probability that in the random arrangement of the letters of the word 'UNIVERSITY' the two I's does not come together is
  A)
  \[\frac{4}{5}\] done clear
  B)
  1/5 done clear
  C)
  1/10 done clear
  D)
  9/10 done clear
  View Solution play_arrow

• question_answer41)
  A bag contains an assortment of blue and red balls. If two balls are drawn at random, the probability of drawing two red balls is five times the probability of drawing two blue balls furthermore, the probability of drawing one ball of each color is six times the probability of drawing two blue balls. The number of red and blue balls I the bag is
  A)
  6, 3 done clear
  B)
  3, 6 done clear
  C)
  2, 7 done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer42)
  What is the probability of getting a ?FULL HOUSE?? in five cards drawn in a pork game from a standard pack of 52-cards? [A FULL HOUSE consists of 3 cards of the same kind (e.g. 3 Kings) and 2 cards of another kind (e.g. 2 aces)]
  A)
  \[\frac{6}{4165}\] done clear
  B)
  \[\frac{4}{4165}\] done clear
  C)
  \[\frac{3}{4165}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer43)
  A complete cycle of a traffic light takes 60 seconds. During each cycle the light is green for 25 seconds, yellow for 5 seconds and red for 30 seconds. At a randomly chosen time, the probability that the light will not be green is
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{4}\] done clear
  C)
  \[\frac{4}{3}\] done clear
  D)
  \[\frac{7}{12}\] done clear
  View Solution play_arrow

• question_answer44)
  If an integer q be chosen at random in the interval \[-10\le q\le 10,\] then the probability that the roots of the equation \[{{x}^{2}}+qx+\frac{3q}{4}+1=0\] are real is
  A)
  \[\frac{2}{3}\] done clear
  B)
  \[\frac{15}{21}\] done clear
  C)
  \[\frac{16}{21}\] done clear
  D)
  \[\frac{17}{21}\] done clear
  View Solution play_arrow

• question_answer45)
  Let A and B be two events. Then \[1+P(A\cap B)-P(B)-P(A)\] is equal to
  A)
  \[P(\bar{A}\cup \bar{B})\] done clear
  B)
  \[P(A\cap \bar{B})\] done clear
  C)
  \[P(\bar{A}\cap B)\] done clear
  D)
  \[P(\bar{A}\cap \bar{B})\] done clear
  View Solution play_arrow

• question_answer46)
  If mean and variance of a Binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater than 1 is
  A)
  \[\frac{2}{3}\] done clear
  B)
  \[\frac{4}{5}\] done clear
  C)
  \[\frac{7}{8}\] done clear
  D)
  \[\frac{11}{16}\] done clear
  View Solution play_arrow

• question_answer47)
  A coin is tossed. If a head is observed, a number is randomly selected form the se {1, 2, 3} and if a tail is observed, a number is randomly selected from the set {2, 3, 4, 5}. If the selected number be denoted by X, what is the probability that X=3?
  A)
  2/7 done clear
  B)
  1/5 done clear
  C)
  1/6 done clear
  D)
  7/24 done clear
  View Solution play_arrow

• question_answer48)
  A fair coin it tossed 2n times. The probability of getting as many heads in the first n tosses as in the last n is
  A)
  \[\frac{^{2n}{{C}_{n}}}{{{2}^{2n}}}\] done clear
  B)
  \[\frac{^{2n}{{C}_{n-1}}}{{{2}^{n}}}\] done clear
  C)
  \[\frac{n}{{{2}^{2n}}}\] done clear
  D)
  None done clear
  View Solution play_arrow

• question_answer49)
  The chance of one event happening is the square of the chance of a second event, but the odds against the first are the cube of the odds against the second. The chance of the first event is
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{9}\] done clear
  C)
  \[\frac{2}{3}\] done clear
  D)
  \[\frac{4}{9}\]   done clear
  View Solution play_arrow

• question_answer50)
  Seven people set themselves indiscriminately at round table. The probability that two distinguished person will be next to each is
  A)
  \[\frac{1}{3}\] done clear
  B)
  \[\frac{1}{2}\] done clear
  C)
  \[\frac{1}{4}\] done clear
  D)
  \[\frac{2}{3}\]   done clear
  View Solution play_arrow

• question_answer51)
  The probability of choosing at random a number that is divisible by 6 or 8 from among 1 to 90 is equal to:
  A)
  \[\frac{1}{6}\] done clear
  B)
  \[\frac{1}{30}\] done clear
  C)
  \[\frac{11}{80}\] done clear
  D)
  \[\frac{23}{90}\] done clear
  View Solution play_arrow

• question_answer52)
  Three numbers are chosen at random without replacement from the set \[A=\{x|1\le x\le 10,x\in N\}\]. The prodigality that the minimum of the chosen numbers is 3 and maximum is 7, is
  A)
  \[\frac{1}{12}\] done clear
  B)
  \[\frac{1}{15}\] done clear
  C)
  \[\frac{1}{40}\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer53)
  The probabilities of two events A and B are given as \[P(A)=0.8\] and \[P(B)=0.7.\] What is the minimum value of \[P(A\cap B)?\]
  A)
  0 done clear
  B)
  0.1 done clear
  C)
  0.5 done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer54)
  Let \[\omega \] be a complex cube root of unity with \[\omega \ne 1.\] A fair die is thrown three times. If \[r,{{r}_{2}}\] and \[{{r}_{3}}\] are the numbers obtained on the die, then the probability that \[{{\omega }^{{{r}_{1}}}}+{{\omega }^{{{r}_{2}}}}+{{\omega }^{{{r}_{3}}}}=0\] is
  A)
  1/18 done clear
  B)
  1/9 done clear
  C)
  2/9 done clear
  D)
  1/36 done clear
  View Solution play_arrow

• question_answer55)
  If \[\frac{1+4p}{4},\frac{1-p}{2}\] and \[\frac{1-2p}{2}\] are the probabilities of  three mutually exclusive events, then value of p is
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[\frac{1}{3}\] done clear
  C)
  \[\frac{1}{4}\] done clear
  D)
  \[\frac{2}{3}\]   done clear
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• question_answer56)
  In an examination, the probability of a candidate solving a question is \[\frac{1}{2}.\] Out of given 5 questions in the examination, what is the probability that the candidate was able to solve at least 2 questions?
  A)
  \[\frac{1}{64}\] done clear
  B)
  \[\frac{3}{16}\] done clear
  C)
  \[\frac{1}{2}\] done clear
  D)
  \[\frac{13}{16}\] done clear
  View Solution play_arrow

• question_answer57)

  A can hit a target 4 times in 5 shots;

  B can hit a target 3 times in 4 shots;

  C can hit a target 2 times in 3 shots;

  All the three a shot each. What is the probability that two shots are at least hit?

  A)
  1/6 done clear
  B)
  3/5 done clear
  C)
  5/6 done clear
  D)
  1/3 done clear
  View Solution play_arrow

• question_answer58)
  It has been found that if A and B play a game 12 times. A wins 6 times, B wins 4 times and they draw twice. A and B take part in a series of 3 games. The probability that they with alternately, is:
  A)
  \[5/12\] done clear
  B)
  \[5/36\] done clear
  C)
  \[19/27\] done clear
  D)
  \[5/27\] done clear
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• question_answer59)
  An experiment consists of flipping a coin and then flipping it a second time if head occurs. If a tail occurs on the first flip, then a six-faced die is tossed once. Assuming that the outcomes are equally likely, what is the probability of getting one head and one tail?
  A)
  ¼ done clear
  B)
  1/36 done clear
  C)
  1/6 done clear
  D)
  1/8 done clear
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• question_answer60)
  A point is selected at random from the interior of a circle. The probability that the point is close to the centre, then the boundary of the circle, is
  A)
  \[\frac{3}{4}\] done clear
  B)
  \[\frac{1}{2}\] done clear
  C)
  \[\frac{1}{4}\] done clear
  D)
  None of these done clear
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