9th Class Mathematics Probability Question Bank

done Probability Total Questions - 25

• question_answer1)
  There are 25 cards numbered from 1 to 25. One card is drawn at random. What is the, probability that the number on this card is not divisible by 3?
  A)
   \[\frac{6}{25}\]                         done clear
  B)
  \[\frac{17}{25}\]                        done clear
  C)
   \[\frac{19}{25}\]                       done clear
  D)
          \[\frac{11}{25}\] done clear
  View Solution play_arrow

• question_answer2)
  The probability that a red marble selected at random from a jar containing \[x\]red, y blue and z green marbles is ____.    
  A)
  \[\frac{y}{x+y+z}\]                   done clear
  B)
  \[\frac{x+z}{x+y+z}\]   done clear
  C)
         \[\frac{x}{x+y+z}\]       done clear
  D)
         \[\frac{y+z}{x+y+z}\]     done clear
  View Solution play_arrow

• question_answer3)
  One card is drawn from a well-shuffled deck, of 52 cards. The probability of drawing a queen is
  A)
   \[\frac{1}{12}\]             done clear
  B)
          \[\frac{1}{13}\]             done clear
  C)
   \[\frac{1}{50}\]                         done clear
  D)
  \[\frac{3}{10}\] done clear
  View Solution play_arrow

• question_answer4)
  DIRECTION (4-5): One card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing. '4' or '6' of diamond                   
  A)
  \[\frac{5}{52}\]                          done clear
  B)
   \[\frac{1}{52}\]             done clear
  C)
   \[\frac{1}{13}\]             done clear
  D)
         \[\frac{1}{26}\] done clear
  View Solution play_arrow

• question_answer5)
  Red ace
  A)
  \[\frac{1}{26}\]                          done clear
  B)
  \[\frac{2}{26}\]              done clear
  C)
   \[\frac{3}{26}\]             done clear
  D)
         \[\frac{4}{26}\]              done clear
  View Solution play_arrow

• question_answer6)
  Two dice are thrown simultaneously. The probability of getting a multiple of 2 on one die and a multiple of 3 on the other is ____.
  A)
  \[\frac{5}{36}\]                          done clear
  B)
  \[\frac{5}{12}\]              done clear
  C)
   \[\frac{11}{36}\]                                   done clear
  D)
   \[\frac{1}{12}\]             done clear
  View Solution play_arrow

• question_answer7)
  The given table shows the ages (in years) of 360 patients, getting medical treatment in a hospital.

  Age n years)	10-20	20-30	30-40	40-50	50-60	60-70
  No. of patients	90	50	60	80	50	30

  One of the patients is selected at random. The probability that his age is

  (a) 30 years or more but less than 40 years is ____.

  (b) 10 years or more is ___.

  A)

  (a)	(b)
  \[\frac{1}{6}\]	\[\frac{2}{9}\]

              done clear
  B)

  (a)	(b)
  \[\frac{1}{6}\]	0

              done clear
  C)

  (a)	(b)
  \[\frac{2}{9}\]	1

              done clear
  D)

  (a)	(b)
  \[\frac{1}{6}\]	1

  done clear
  View Solution play_arrow

• question_answer8)
  A die is thrown once. The probability of 1 getting a number greater than 6 is ____.
  A)
   \[\frac{1}{2}\]                          done clear
  B)
   \[\frac{1}{3}\]              done clear
  C)
   \[\frac{2}{3}\]                          done clear
  D)
   0 done clear
  View Solution play_arrow

• question_answer9)
  The probability of guessing the correct answer to a question is \[\frac{x}{2}.\]If the probability of not guessing the correct answer to this question is \[\frac{2}{3},\] then \[x=\_\_\_\_.\]
  A)
   2                                 done clear
  B)
   3                                 done clear
  C)
   \[\frac{2}{3}\]                          done clear
  D)
   \[\frac{1}{3}\]  done clear
  View Solution play_arrow

• question_answer10)
  Without looking at any page, a number is   chosen at random from the page. What is the probability that the digit at the units place of the number chosen is greater than 6?                                 
  A)
  \[\frac{3}{10}\]                          done clear
  B)
  \[\frac{6}{10}\]              done clear
  C)
   \[\frac{4}{10}\]                         done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer11)
  An urn contains 11 oranges, 8 mangoes and 13 apples. A fruit is drawn at random. What is the probability of not drawing an apple?                                
  A)
  \[\frac{15}{32}\]                                    done clear
  B)
  \[\frac{19}{32}\]                        done clear
  C)
  \[\frac{11}{32}\]                                    done clear
  D)
  \[\frac{13}{32}\] done clear
  View Solution play_arrow

• question_answer12)
  Three coins are tossed simultaneously 100 times. The following outcomes are recorded-

  Outcomes	3 tails	2 tails	1 tail	no tail
  Frequency	23	28	23

  Find the probability of getting more than one tail.
  A)
          \[\frac{49}{100}\]                                  done clear
  B)
  \[\frac{27}{50}\]                                    done clear
  C)
               \[\frac{51}{100}\]                                 done clear
  D)
  \[\frac{23}{100}\]    done clear
  View Solution play_arrow

• question_answer13)
  A box contains 5 green balls and some white balls. If the probability of drawing a white ball is half of the probability of drawing a green ball, then find the number of white balls in the box.
  A)
   10                                done clear
  B)
   5                     done clear
  C)
   15                                done clear
  D)
   20                    done clear
  View Solution play_arrow

• question_answer14)
  A card is drawn at random from a well shuffled pack of 52 cards. The probability that the card drawn is neither a red card nor a queen is ____.
  A)
   \[\frac{6}{13}\]                         done clear
  B)
   \[\frac{5}{13}\]             done clear
  C)
   \[\frac{4}{13}\]                         done clear
  D)
  \[\frac{2}{13}\]              done clear
  View Solution play_arrow

• question_answer15)
  A city survey found that 47% of teenagers have a part time job. The same survey found that 30% plan to attend college. Find the probability that a teenager has a part time job.
  A)
   \[\frac{37}{100}\]                                 done clear
  B)
  \[\frac{30}{100}\]                      done clear
  C)
   \[\frac{40}{100}\]                                 done clear
  D)
   \[\frac{47}{100}\] done clear
  View Solution play_arrow

• question_answer16)
  Ram and Priya are playing a game. Ram's winning probability is \[\frac{1}{3}\]and sum of their winning probabilities is 1. Numerator of Priya's winning probability is ___.
  A)
   2                                 done clear
  B)
   1                     done clear
  C)
   3                                 done clear
  D)
   None of these                done clear
  View Solution play_arrow

• question_answer17)
  In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
  A)
   10/35                           done clear
  B)
   25/35               done clear
  C)
   15/35                           done clear
  D)
   None of these done clear
  View Solution play_arrow

• question_answer18)
  Tanya has the following coins in her pocket: Rs. 1, Rs. 2, Rs. 5, Rs. 10. She selects one coin at random to put in a charity collection box. What is the probability that she

  (i) gives more than 20p?

  (ii) has less than Rs. 5 left in her pocket?

  A)

  (i)	(ii)
  1	\[\frac{1}{2}\]

              done clear
  B)

  (i)	(ii)
  \[\frac{1}{2}\]	1

              done clear
  C)

  (i)	(ii)
  \[\frac{3}{4}\]	\[\frac{1}{2}\]

              done clear
  D)

  (i)	(ii)
  \[\frac{1}{2}\]	\[\frac{3}{4}\]

  done clear
  View Solution play_arrow

• question_answer19)
  Krish went to play a lucky draw contest. 70 tickets of a lucky draw were sold. If the probability of Krish winning the draw is\[\frac{1}{14},\]then the number of tickets bought by Krish is ___.
  A)
   5                                 done clear
  B)
   10                    done clear
  C)
   15                      done clear
  D)
   20                                done clear
  View Solution play_arrow

• question_answer20)
  In a coffee shop, there are 12 pastries for sale, including 6 chocolate muffins. What is the probability that a randomly selected pastry will be chocolate muffin?
  A)
   \[\frac{2}{3}\]                          done clear
  B)
   \[\frac{1}{2}\]                          done clear
  C)
   \[\frac{1}{4}\]                          done clear
  D)
   1 done clear
  View Solution play_arrow

• question_answer21)
  The following table gives the ages of teachers in XYZ school.

  Age (in years)     Number of teachers
  20-25	70
  25-30	110
  30-35	165
  35-40	320
  40-45	200
  45-50	135

  A teacher is selected at random from the group, then which of the following statements is INCORRECT?
  A)
   Probability of a teacher having age greater than or equal to 35, is\[\frac{131}{200}.\]. done clear
  B)
   Probability of at eacher having age more than or equal to 25 and less than 40, is\[\frac{119}{200}.\] done clear
  C)
   Probability of a teacher selected is of age not less than 30, is \[\frac{17}{200}.\] done clear
  D)
   Probability of a teacher selected from the youngest group, is \[\frac{14}{200}.\] done clear
  View Solution play_arrow

• question_answer22)
  Two coins are tossed simultaneouses. Find P, Q and R respectively.

  Number of Heads		Required probability
  (i)	0	P
  (ii)	1	Q
  (iii)	2	R

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

• question_answer23)
  State ?T? for true and 'F' for false.

  (i) The probability of an impossible event is 0.

  (ii) Sample space when two coins are tossed is {H, T, T, H}

  (iii) Probability of an event 'A'+ probability of an event 'not A' = 1

  (iv) Probability of choosing a vowel from the English alphabets is\[\frac{1}{5}.\]

  (v) The range of probability of any event lies between -1 to 1.

  A)
                               

  I	II	III	IV	V
  T	F	F	T	T

  done clear
  B)

  I	II	III	IV	V
  T	F	T	F	T

  done clear
  C)

  I	II	III	IV	V
  F	T	F	T	T

  done clear
  D)

  I	II	III	IV	V
  T	F	T	F	F

  done clear
  View Solution play_arrow

• question_answer24)
  A company selected 4000 households at random and surveyed them to find out a relationship between income level and the number of AC sets in their home. The information so obtained, is shown here.

  Monthly income (in Rs.)	Number of
  	AC/households
  	0	1	2	Above 2
  <10000	20	80	10	0
  10000-14999	10	240	60	0
  15000-19999	0	380	120	30
  20000-24999	0	520	370	80
  25000 and above	0	1100	760	220

  Find the probability of households: (a) earning Rs. (15000-19999) per month and having more than one AC. (b) earning Rs. 25000 and more per month  and having exactly one AC. (c) not having any AC.
  A)
                               

  (a)	(b)	(c)
  \[\frac{1}{8}\]	\[\frac{11}{40}\]	\[\frac{1}{200}\]

  done clear
  B)

  (a)	(b)	(c)
  \[\frac{3}{80}\]	\[\frac{17}{40}\]	\[\frac{3}{400}\]

  done clear
  C)

  (a)	(b)	(c)
  \[\frac{1}{8}\]	\[\frac{17}{40}\]	\[\frac{1}{200}\]

  done clear
  D)

  (a)	(b)	(c)
  \[\frac{3}{80}\]	\[\frac{11}{40}\]	\[\frac{3}{400}\]

  done clear
  View Solution play_arrow

• question_answer25)
  Which of the following statements is CORRECT? Cards marked with the numbers 2 to 101 are put in a box and mixed thoroughly. One card is drawn from the box.

  Statement 1: Probability of prime numbers less than 20 is \[\frac{2}{25}.\]

  Statement 2: Probability of perfect square is \[\frac{9}{100}.\]

  A)
   Only Statement-1 done clear
  B)
   Only Statement-2 done clear
  C)
   Both Statement-1 and Statement-2 done clear
  D)
   Neither Statement-1 nor Statement-2 done clear
  View Solution play_arrow