9th Class Mathematics Probability Question Bank

done Probability Total Questions - 40

• question_answer1)
  A shared garden area has 16 patches owned by 16 different people. The patches are separated by fences as shown. If a patch is selected at random, then what is the possibilities that it has three shared fences?
  A)
   \[\frac{1}{3}\]                          done clear
  B)
   \[\frac{1}{4}\]              done clear
  C)
   \[\frac{1}{2}\]   done clear
  D)
   \[\frac{1}{6}\] done clear
  View Solution play_arrow

• question_answer2)
  100 people arriving at the beach are asked their age. The results are shown alongside. Assuming that they give honest replies. What is the possibility that a randomly selected person on the beach will be aged between 30 or more?

  Age	Frequency
  0-9	25
  10-19	17
  20-29	31
  30-39	20
  40	7

  A)
  0.273                            done clear
  B)
   0.270       done clear
  C)
   0.271                           done clear
  D)
   0.272 done clear
  View Solution play_arrow

• question_answer3)
  Over a 70 days period David records the number of phone calls he receives. The graph of his data is shown alongside. The Possibility that on any day David will receive at least 3 phone calls.
  A)
  0.453                done clear
  B)
   0.534 done clear
  C)
   0.543               done clear
  D)
   0.435 done clear
  View Solution play_arrow

• question_answer4)
  In a random survey of a district, people were asked whether they will vote for political Party A, B or C. The results are shown alongside. What is the possibility that a randomly chosen voter in the district will vote for A?

  A	B	C
  60	100	160
  330	84	96

  A)
  035   done clear
  B)
   0.25             done clear
  C)
   0.45                             done clear
  D)
   0.55 done clear
  View Solution play_arrow

• question_answer5)
    Tony and Hari each spins the spinner alongside. The possibility that tony spins prime number and Hari spins a multiple of 3 is
  A)
  \[\frac{1}{8}\]      done clear
  B)
   \[\frac{1}{8}\]             done clear
  C)
   \[\frac{1}{4}\]                          done clear
  D)
   \[\frac{5}{8}\] done clear
  View Solution play_arrow

• question_answer6)
  Suppose that a pair of dice is rolled. The 25 different possible results are illustrated on the 2-dimensional grid. The possibility of getting a sum of greater than 8 is
  A)
  \[\frac{1}{12}\]                          done clear
  B)
   \[\frac{5}{18}\] done clear
  C)
   \[\frac{6}{25}\]                         done clear
  D)
   \[\frac{3}{25}\] done clear
  View Solution play_arrow

• question_answer7)
  Robin begins a game of battleship by placing an aircraft or \[\mathbf{10\times 10}\]grid. The aircraft carrier must be placed horizontally or vertically occupying 5 squares. One possible position is shown alongside. Robin selects one of those positions at random. What is the possibility that the aircraft carrier occupies the square B3?
  A)
  \[\frac{1}{4}\]                           done clear
  B)
   \[\frac{1}{2}\] done clear
  C)
   \[\frac{7}{60}\]                         done clear
  D)
   \[\frac{1}{24}\] done clear
  View Solution play_arrow

• question_answer8)
  A spinner with the numbers 1 to 5 written on equal sectors is spin once. What is the possibility of spinning a prime number?
  A)
   \[\frac{1}{5}\]                          done clear
  B)
   \[\frac{2}{5}\]              done clear
  C)
   \[\frac{3}{5}\]       done clear
  D)
   \[\frac{4}{5}\] done clear
  View Solution play_arrow

• question_answer9)
  A small child has a collection of shapes. She chooses one of the shapes at random. What is the possibility that it is a rectangle?
  A)
  \[\frac{1}{2}\]                           done clear
  B)
   \[\frac{4}{13}\] done clear
  C)
   \[\frac{1}{4}\]  done clear
  D)
   \[\frac{1}{6}\] done clear
  View Solution play_arrow

• question_answer10)
  Alexander records the number of phone calls he receives over a period of consecutive days. What is the probability that on a particular day Alexander will receive 5 or more phone calls?
  A)
  \[0.\overline{5}\]                        done clear
  B)
   \[0.\overline{4}\]              done clear
  C)
   \[0.\overline{3}\]                                   done clear
  D)
   \[0.\overline{2}\] done clear
  View Solution play_arrow

• question_answer11)
  The dot plot alongside show how many times Ravindran went jogging in each of last 32 weeks. The possibility that next week Ravindaran will not go jogging.
  A)
   0.13                             done clear
  B)
   0.156      done clear
  C)
   0.167                           done clear
  D)
   0.187 done clear
  View Solution play_arrow

• question_answer12)
  This table shows how long Naidu slept each night recently. The probability that tonight he will sleep for between 5 and 7 hours.

  Hours Slept	Frequency
  \[5\le h<6\]	10
  \[6\le h<7\]	12
  \[7\le h<8\]	42
  \[8\le h<9\]	36

  A)
   0.248               done clear
  B)
   0.224   done clear
  C)
   0.213               done clear
  D)
   0.220 done clear
  View Solution play_arrow

• question_answer13)
  Jayesh does a lot of travelling in his car. So he records how often he fills his car with CNG. The table alongside shows the frequencies of the number of days between refills. The possibility that between there is a gap of at least 5 days?

  Day between refills	Frequency
  1	36
  2	80
  3	41
  4	17
  5	15
  6	11

  A)
   0.08 done clear
  B)
   0.18             done clear
  C)
   0.108                           done clear
  D)
   0.082 done clear
  View Solution play_arrow

• question_answer14)
  Robert recorded the length of TV commercial in seconds. His results are summarized in the table. The possibility that a randomly chosen TV commercial will show between 20 seconds and a minute.

  Length	Frequency
  \[0\le t<20\]	17
  \[20\le t<40\]	38
  \[40\le t<60\]	19
  \[t\ge 60\]	4

  A)
   0.137                           done clear
  B)
   0.317            done clear
  C)
   0.731 done clear
  D)
   0.371 done clear
  View Solution play_arrow

• question_answer15)
  The speed of vehicles 200 travelling along a section of highway were recorded and displayed frequently alongside. What is the possibility that the vehicles were travelling at a speed between 60 kmph and 100 kmph?
  A)
   \[\frac{2}{7}\]                          done clear
  B)
   \[\frac{3}{7}\] done clear
  C)
   \[\frac{11}{14}\]           done clear
  D)
   \[\frac{1}{7}\] done clear
  View Solution play_arrow

• question_answer16)
  A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers. 1, 2, 3, _ _ _ _ ,12 as shown alongside and these are equally outcomes what is the probability that it will point a perfect square?
  A)
   \[\frac{1}{3}\]                          done clear
  B)
   \[\frac{1}{4}\]  done clear
  C)
   \[\frac{1}{5}\]                          done clear
  D)
   \[\frac{1}{6}\] done clear
  View Solution play_arrow

• question_answer17)
  To know the opinion of the students about the subject probability a survey of 500 students also was recorded in the following data. What is the possibilities that a student chosen at random has no opinion?      

  Opinion	Number of students
  Like	145
  Dislike	230
  No opinion	125

  A)
   \[\frac{5}{9}\]                          done clear
  B)
   \[\frac{1}{4}\]     done clear
  C)
   \[\frac{1}{3}\]                          done clear
  D)
   \[\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer18)
  An organisation selected 2400 families at random and surveyed them to determine a relationship between cities and the number of vehicles in a family. The information collected is listed in the table below. What is the possibility that the family chosen in Delhi has at least 2 cars?

  Cities	Vehicles per family
  	0	1	2	3
  Delhi	0	160	25	0
  Mumbai	0	305	27	2
  Kolkata	1	535	29	1
  Chennai	2	469	59	25
  Bengaluru	1	579	82	88

  A)
  \[\frac{37}{480}\]          done clear
  B)
   \[\frac{39}{240}\] done clear
  C)
   \[\frac{37}{120}\]                     done clear
  D)
   \[\frac{37}{140}\] done clear
  View Solution play_arrow

• question_answer19)
  1500 families with 2 children were selected randomly and the following data were recorded. What is the possibility of a family chosen at random having at least 1 girl.

  Number of girls in a family	2	1	0
  Number of families	475	825	200

  A)
  \[\frac{11}{15}\]                        done clear
  B)
   \[\frac{11}{15}\]             done clear
  C)
   \[\frac{2}{15}\]                                     done clear
  D)
   \[\frac{13}{15}\] done clear
  View Solution play_arrow

• question_answer20)
  A coloured cube is cut into 64 equal cubes as shown alongside. What is the probability that a cube selected randomly has one face painted?
  A)
   \[\frac{9}{16}\]                         done clear
  B)
   \[\frac{3}{16}\] done clear
  C)
   \[\frac{3}{8}\]  done clear
  D)
   \[\frac{2}{5}\] done clear
  View Solution play_arrow

• question_answer21)
  A wheel with sectors numbered 1 to 24 is spin once as shown alongside. What is the possibility that the number is a composite number?
  A)
   \[\frac{1}{2}\]                          done clear
  B)
   \[\frac{7}{12}\]            done clear
  C)
   \[\frac{1}{4}\]                          done clear
  D)
   \[\frac{1}{6}\] done clear
  View Solution play_arrow

• question_answer22)
  Different choices made by a group of 200 students are given below. On the basis of given data, what is the possibility that a randomly selected student who has neither taken science nor commerce?

  Streams	No. of students
  Science	62
  Arts	58
  Commerce	58
  Home Science	12
  Other	10

  A)
   0.33                             done clear
  B)
   0.51     done clear
  C)
   0.42                             done clear
  D)
   0.40 done clear
  View Solution play_arrow

• question_answer23)
  A summery was conducted on a group of students on their IQ score. The data recorded are given below. On the basis of given data the possibility of a student selected randomly whose IQ 100 and more is

  IQ score	80-90	90-100	100-110	110-120	120-130
  No. of students	6	9	16	13	4

  A)
   0.6                               done clear
  B)
   0.5   done clear
  C)
   0.8                               done clear
  D)
   0.9 done clear
  View Solution play_arrow

• question_answer24)
  On the basis of date given alongside what is the possibility that a girl chosen randomly whose height is less than 150 cm?

  Height (in cm)	Number of girls
  Less than 140	20
  Less than 145	11
  Less than 150	29
  Less than 155	40
  Less than 160	49
  Less than 165	51

  A)
   0.3         done clear
  B)
   0.33             done clear
  C)
   0.4                               done clear
  D)
   0.44 done clear
  View Solution play_arrow

• question_answer25)
  The following chart shows the number of students who failed in different subjects in an examination. What is the probability that a student chosen randomly failed in Mathematics?
  A)
  0.38                              done clear
  B)
   0.33    done clear
  C)
   0.23                             done clear
  D)
   0.32 done clear
  View Solution play_arrow

• question_answer26)
  A coloured cube is cut into 8 small equal cubes as show alongside. What is the possibility that a cube selected randomly has no face painted?
  A)
   1                                 done clear
  B)
   0         done clear
  C)
   0.33                             done clear
  D)
   0.22 done clear
  View Solution play_arrow

• question_answer27)
  A pie chart given alongside shows the mode of transport uses by a man. On the basis of data given in pie chart, what is the possibility that a man chooses scooter as a mode of transport?
  A)
   \[\frac{2}{5}\]  done clear
  B)
   \[\frac{3}{5}\] done clear
  C)
   \[\frac{4}{5}\]                          done clear
  D)
   \[\frac{1}{5}\] done clear
  View Solution play_arrow

• question_answer28)
  The marks obtained by 273 examiners shown by the frequency polygon given below. The possibility of a student selected randomly gets more than 80% marks is
  A)
   0.123               done clear
  B)
   0.112   done clear
  C)
   0.113               done clear
  D)
   0.117 done clear
  View Solution play_arrow

• question_answer29)
  The line graph given below represents the number of employees recruited in different years in a company. The probability of a employee selected randomly in 2011 is
  A)
   0.230     done clear
  B)
   0.235            done clear
  C)
   0.245                           done clear
  D)
   0.225 done clear
  View Solution play_arrow

• question_answer30)
  On the basis a bar graph given alongside what is the possibility that a randomly selected family has 4 or more family members?
  A)
  \[0.\overline{3}\]                         done clear
  B)
   \[0.\overline{6}\]           done clear
  C)
   \[0.\overline{4}\]           done clear
  D)
   \[0.\overline{9}\] done clear
  View Solution play_arrow

• question_answer31)
  The sub-divided bar diagram given below depicts the result of class 10 students of a school for three years. On the basis of given data what is the possibility that a student selected in 2001 passed with first class?
  A)
   \[\frac{1}{4}\]                          done clear
  B)
   \[\frac{1}{3}\]                 done clear
  C)
   \[\frac{1}{5}\]                          done clear
  D)
   \[\frac{1}{2}\] done clear
  View Solution play_arrow

• question_answer32)
  The pie chart given below represents the percentage of people in various occupations. On the basis of data given in the Pie-chart. What is the possibility that a person selected randomly chooses agriculture as a occupation?
  A)
   \[\frac{1}{8}\]                          done clear
  B)
   \[\frac{3}{8}\]  done clear
  C)
   \[\frac{5}{8}\]                          done clear
  D)
   \[\frac{7}{8}\] done clear
  View Solution play_arrow

• question_answer33)
  A coloured cube as shown alongside cut into 27 small cubes. What is the probability that a cube selected randomly have at least two faces painted?
  A)
   \[\frac{12}{27}\]                       done clear
  B)
   \[\frac{8}{27}\]             done clear
  C)
   \[\frac{1}{9}\]                         done clear
  D)
   \[\frac{20}{27}\] done clear
  View Solution play_arrow

• question_answer34)
  Three unbiased coins are tossed. What is the probability of getting at least 2 heads?
  A)
   \[\frac{1}{4}\]                                      done clear
  B)
   \[\frac{1}{2}\] done clear
  C)
   \[\frac{1}{3}\]                          done clear
  D)
   \[\frac{1}{8}\] done clear
  View Solution play_arrow

• question_answer35)
  In a simultaneous throw of two dice, what is the probability of getting a total of 10 or 11?
  A)
   \[\frac{1}{4}\]                          done clear
  B)
   \[\frac{1}{6}\]              done clear
  C)
   \[\frac{7}{12}\]                                     done clear
  D)
   \[\frac{5}{36}\] done clear
  View Solution play_arrow

• question_answer36)
  Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is composite?
  A)
   \[\frac{1}{3}\]                          done clear
  B)
   \[\frac{1}{4}\] done clear
  C)
   \[\frac{3}{8}\]                          done clear
  D)
   \[\frac{29}{36}\] done clear
  View Solution play_arrow

• question_answer37)
  A die is rolled 100 times and the data is recorded as given in the table

  Outcomes	1	2	3	4	5	6
  Frequency	22	13	20	10	25	10

  Which of the following is the probability of getting an odd number in a trial?
  A)
  \[\frac{11}{50}\]                                    done clear
  B)
   \[\frac{1}{5}\] done clear
  C)
   \[\frac{67}{100}\] done clear
  D)
   \[\frac{1}{4}\] done clear
  View Solution play_arrow

• question_answer38)
  In a lottery, there are 10 prizes and 45 blanks. A lottery is drawn at random. What is the probability of getting a prize?
  A)
  \[\frac{1}{10}\]                           done clear
  B)
   \[\frac{2}{5}\] done clear
  C)
   \[\frac{2}{11}\]     done clear
  D)
   \[\frac{5}{7}\] done clear
  View Solution play_arrow

• question_answer39)
  A card is drawn from a pack of 52 cards. What is the probability that the card drawn is a face card?
  A)
   \[\frac{1}{13}\]                             done clear
  B)
   \[\frac{2}{13}\] done clear
  C)
   \[\frac{3}{13}\]       done clear
  D)
   \[\frac{1}{52}\] done clear
  View Solution play_arrow

• question_answer40)
  Card is drawn at random from a pocket of 200 cards numbered 1 to 200. The probability of drawing a number which is a cube is
  A)
   1/100                           done clear
  B)
   2/100 done clear
  C)
   1/40         done clear
  D)
   3/10 done clear
  View Solution play_arrow