CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A

Question. A bag contains 24 balls of which x are red 2x are white and 3x are blue. A ball is selected at random. What is the probability that
(i) it is red
(ii) it is blue
(iii) neither red nor blue
Answer : 1/6 , 1/2, 2/3

Question. Five cards – the ten, jack, queen, king and ace of diamonds, are well-shuffled with their face downwards. One card is then picked up at random. (i) What is the probability that the card is the queen? (ii) If the queen is drawn and put aside, what is the probability that the second card picked up is (a) an ace? (b) a queen?
Answer : 1/5, 1/4, 0

Question. A child’s game has 6 triangles of which 3 are blue and rest are red and 10 squares of which 6 are blue and rest are red. One piece Is lost at random. Find the probability that that it is a
(i) Triangle
(ii) Square
(iii) Square of blue colour
Answer : 3/8, 5/8, 3/8

Question. Out of the families having three children, a family is chosen random. Find the probability that the family has (i) Exactly one girl (ii) At least one girl (iii) At most one girl
Answer : 3/8 , 7/8 , 1/2

Question. A lot consists of 48 mobile phones of which 42 are good, 3 have only minor defects and 3 have major defects. Varnika will buy a phone if it is good but the trader will only buy a mobile if it has no major defect. One phone is selected at random from the lot. What is the probability that it is: (i) acceptable to. Varnika? (ii) acceptable to the trader?
Answer : 7/8, 15/16

Question. Two dice are thrown simultaneously. What is the probability that: (a) 5 will not come up either of them?
(b) 5 will come up on at least one time?
(c) 5 will come at both dice?
(d) Sum of 5 comes on both the dice together
Answer : 25/36 , 11/36 , 1/36 , 1/9

Question. A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is: (i) red. (ii) black or white. (iii) not black.
Answer : 7/15, 8/15, 2/3

Question. Cards bearing numbers 3, 5… 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (a) a prime number less than 15 (b) a number divisible by 3 and 5
Answer : 5/17, 2/17

Question. The probability of selecting a blue marble at random from a jar that contains only blue, black and green marbles is 1/5. The probability of selecting a black marble at random from the same jar is 1/4. If the jar contains 11 green marbles, find the total number of marbles in the jar.
Answer : 20

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
I. is divisible by 9 and is a perfect square
II. (ii) is a prime number greater than 80
Answer : 3/100, 3/100

Question. Three coins are tossed simultaneously. Find the probability of getting
(i) Exactly 2 heads (ii) at least 1 head (iii) at most 2 tails (iv) exactly 3 heads
Answer : 3/8, 7/8 , 7/8 , 1/8

Please click on below link to download CBSE Class 10 Mathematics Probability And Constructions Worksheet Set A