Probability Class 10 Worksheet Maths Chapter 14

Multiple Choice Questions
Q1: The probability of an impossible event is
(a) 0.01
(b) 100
(c) zero
(d) 1

Q2: The probability that a leap year will have 53 Sundays or 53 Mondays is
(a) 4/7
(b) 2/7
(c) 1/7
(c) 3/7

Q3: A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and these values are equally likely outcomes. The probability that it will point at a number greater than 5 is
(a) 1/2
(b) 1/4
(c) 1/5
(d) 1/3

Q4: The probability of an impossible event is
(a) 0.01
(b) 100
(c) zero
(d) 1

Q5: Cards marked with numbers 1, 2, 3, ______, 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 and 5 is
(a) 12/25
(b) 4/25
(c) 1/25
(d) 8/25

Q6: A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and these values are equally likely outcomes. The probability that it will point at a number greater than 5 is
(a) 1/2
(b) 1/4
(c) 1/5
(d) 1/3

Very Short Answer Questions
Q7: A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears a two digit number

Q8: A card is drawn from a pack of 52 cards. Find the probability of getting a king of red colour

Q9: A bag contains 40 balls out of which some are red, some are blue and remaining are black. If the probability of drawing a red ball is 11/20 and that of blue ball is 1/5 , then what is the no. of black balls?

Short Answer Questions
Q10: A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the drawn card is neither a king nor a queen. 

Q11: Two unbiased dice are thrown. Find the probability that the total of the numbers on the dice is greater than 10. 

Q12: Three unbiased coins are tossed together. Find the probability of getting at least two heads? 

Q13: Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the taken out card is
(1) a prime number less than 10
(2) a number which is a perfect square.

Q14: Why is tossing a coin considered as the way of deciding which team should get the ball at the beginning of a football match?

Q15: Two coins are tossed together. Find the probability of getting both heads or both tails.

Q16: A bag contains, white, black and red balls only. A ball is drawn at random from the bag. If the probability of getting a white ball is 3/10 and that of a black ball is , 2/5 then find the probability of getting a red ball. If the bag contains 20 black balls, then find the total number of balls in the bag.

Q17: A box contains 90 discs which are numbered 1 to 90. If one disc is drawn at random from the box, find the probability that it bears
(1) a two digit number,
(2) number divisible by 5.

Long Questions Answer
Q18: A box contains cards bearing numbers 6 to 70. If one cards is drawn at random from the box, find the probability that it bears
(1) a one digit number.
(2) a number divisible by 5,
(3) an odd number less than 30,

Q19: All red face cards are removed from a pack of playing cards. The remaining cards are well-shuffled and then a card is drawn at random from them. Find the probability that the drawn card is
(1) a red card,
(2) a face card,
(3) a card of clubs.

Q20: Cards numbered 11 to 60 are kept in a box. If a card is drawn at random from the box, find the probability that the number on the drawn card is (i) an odd number, (ii) a perfect square number, (iii) divisible by 5, (iv) a prime number less than 20.

You can access the solutions to this worksheet here.