CBSE Class 9 Maths Probability MCQs Set B

Question: The king, queen and jack of clubs are removed from a deck of 52 playing cards and then well-shuffled. One card is selected from the remaining cards. The probability of getting a club is _____.
a) 13/49
b) 10/49
c) 3/49
d) 1/49
Answer: b

Question: A bag contains 6 blue and 4 green marbles. If a marble is drawn at random from the bag, the probability that the marble drawn is green, is ____.
a) 2/5
b) 1/5
c) 4/5
d) 1/10
Answer: a

Question: When two dice are thrown, the probability of getting a number always greater than 4 on the second dice is _____.
a) 1/6
b) 1/3
c) 1/36
d) 5/36
Answer: b

Question: One card is drawn from a well-shuffled deck of 52 cards. The probability of drawing an ace is _____.
a) 1/12
b) 1/13
c) 1/50
d) 3/10
Answer: b

Question: A bag contains 12 balls of two different colours, out of which x are white. One ball is drawn at random. If 6 more white balls are put in the bag, the probability of drawing a white ball now will be double to that of the previous probability of drawing a white ball. Then, the value of x is _____.
a) 3
b) 4
c) 5
d) 6
Answer: a

Question: A black die, a red die and a green die are thrown at the same time. What is the probability that the sum of three numbers that turn up is 15?
a) 11/216
b) 5/108
c) 9/216
d) 12X1/18
Answer: b

Question: Two dice are thrown simultaneously. The probability of getting a doublet or a total of 4 is _____.
a) 2/9
b) 3/7
c) 4/9
d) 5/9
Answer: a

Question: There are 100 cards in a bag on which numbers from 1 to 100 are written. A card is taken out from the bag at random. Find the probability that the number on the selected card is divisible by 9 and is a perfect square.
a) 9/100
b) 1/25
c) 7/100
d) 3/100
Answer: d

Question: Three cards of spades are lost from a pack of 52 playing cards. The remaining cards were well shuffled and then a card was drawn at random from them. Find the probability that the drawn cards is of black colour.
a) 26/49
b) 23/49
c) 13/26
d) 23/52
Answer: b

Question: Honey goes to school by a car driven by his driver or uses his bicycle. Probability that he will use the car is 3/7 What is the probability that he will use his bicycle for going to the school?
a) 1/7
b) 6/7
c) 4/7
d) 5/7
Answer: c

Question: A bag contains three green, four blue and two orange marbles. If a marble is picked at random, then the probability that it is not an orange marble, is _____.
a) 1/4
b) 1/3
c) 4/9
d) 7/9
Answer: d

Question: A jar contains 54 marbles each of which is blue, green or white. The probability of selecting a blue marble at random from the jar is 1/3 ,and the probability of selecting a green marble at random is 4/9 . How many white marbles does the jar contain?
a) 12
b) 6
c) 9
d) 11
Answer: a

Question: A game consists of tossing a one rupee coin three times and noting its outcome each time. Hanif wins if all the tosses give the same result, i.e., three heads or three tails and loses otherwise. Calculate the probability that Hanif will lose the game.
a) 1/4
b) 1/2
c) 3/4
d) 5/8
Answer: c

Question: Find the probability of getting 53 Fridays in a leap year.
a) 3/7
b) 4/7
c) 2/7
d) 5/7
Answer: c

Question: A letter is chosen at random from the letters of the word ‘ASSOCIATION’. Find the probability that the chosen letter is a vowel.
a) 3/11
b) 5/11
c) 6/11
d) 7/11
Answer: c

Question: It is know that a box of 600 electric bulbs contains 12 defective bulbs. One bulb is taken out at random from this box. What is the probability that it is a non-defective bulb?
a) 0.45
b) 0.98
c) 0.57
d) 0.85
Answer: b

Question: In the given figure. JKLM is a square with sides of length 6 units. Points A and B are the mid-points of sides KL and LM respectively. If a point is selected at random from the interior of the square. What is the probability that the point will be chosen from the interior of DJAB?
a) 5/8
b) 7/8
c) 3/4
d) 3/8
Answer: d

Question: 250 lottery tickets were sold and there are 5 prizes on these tickets. If Kunal has purchased one lottery ticket, what is the probability that he wins a prize?
a) 1/50
b) 1/125
c) 3/125
d) 3/50
Answer: a

Question: Two dice are thrown at a time. The probability that the difference of the numbers shown on the dice is 1 is _____.
a) 5/18
b) 1/36
c) 1/6
d) 1/18
Answer: a

Question: Five cards-the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. If the queen is drawn and put aside, one card is then picked up at random. what is the probability that the second card picked up is (i) a king and (ii) a queen?
a) 1/4 0
b) 1/2 0
c) 1/13 0
d) 1/3 1/2
Answer: a

Question: Two customers Shyam and Ekta are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit the shop on any one day as on another. What is the probability that both will visit the shop on different days?
a) 3/5
b) 4/5
c) 12/25
d) 1/5
Answer: b

Question: Cards marked with numbers 13, 14, 15,…….,60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is
(i) divisible by 5.
(ii) a number which is a perfect square.
        (i)   (ii)
a) 5/24  1/24
b) 5/24  1/12
c) 1/12  5/12
d) None of these
Answer: b

Question: Fill in the blanks.
(i) In a single throw of a dice, the probability of getting a number greater than 2 is P .
(ii) A card is drawn from a deck of 52 cards. The probability of drawing a red card is Q and a face card is R .
(iii) A bag contains 2 blue and 3 green marbles, then the probability of drawing red marble S .
     P      Q       R     S
a) 1/3  11/26  2/11   1
b) 1/6  1/4     3/11    0
c) 2/3  1/2     3/13    0
d) 2/3  1/2     3/13   3/5
Answer: c

Question: A box contains 19 balls bearing numbers 1, 2, 3, …., 19. A ball is drawn at random from the box. What is the probability that the number on the ball is
(i) A prime number ?
(ii) Divisible by 3 or 5?
(iii) Neither divisible by 5 nor by 10?
(iv) An even number?
    (i)        (ii)      (iii)       (iv)
a) 3/19   7/19   1/19    9/19
b) 1/19   1/19   8/19    9/19
c) 8/19   8/19   16/19   9/19
d) 8/19   8/19   17/19   9/19
Answer: c

Question: Two dice are thrown simultaneously. Match the probability of events in column-I to the column-II.
      Column- I                                 Column – II
(P) Sum as prime number                (i) 11/36
(Q) Multiple of 2 on one dice and      (ii) 1/12
      multiple of 3 on other dice
(R) Total of at least 10                     (iii) 5/12
(S) Doublet of even numbers            (iv) 1/6
a) P → (iv), Q → (i), R → (iii), S → (ii)
b) P → (iv), Q → (iii), R → (i), S → (ii)
c) P → (iii), Q → (ii), R → (iv), S → (i)
d) P → (iii), Q → (i), R → (iv), S → (ii)
Answer: d