Unit Test: Probability | Mathematics (Maths) Class 10 PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers 9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1: The probability, which is a non-leap year selected at random, will contain 53 Sundays is (1 mark)

(a) 1/7
(b) 2/7
(c) 3/7
(d) 5/7

Q2: A card has been selected from a deck of 52 cards. The probability for the being the red face card is (1 mark)

(a) 3/26
(b) 3/13
(c) 2/13
(d) 1/2

Q3:  When the probability for the event is p, the probability of the complementary event will be (1 mark)

(a) p – 1
(b) p
(c) 1 – p
(d) 1-1/p

Q4:  Which among the following cannot be the probability of an event? (1 mark)

(a) 1/3
(b) 0.1
(c) 3%
(d) 17/16

Q5:  If the probability of winning a game is 0.07, what is the probability of losing it? (1 mark)

Q6: The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap? (2 marks)

Q7: A die is thrown once. What is the probability of getting a number less than 3? (2 marks)

Q8: 12 defective pens are accidentally mixed with 132 good ones. It is not possible to just look at a pen and tell whether or not it is defective. One pen is taken out at random from this lot. Determine the probability that the pen is taken out is a good one. (2 marks)

Q9:  An integer is chosen between 0 and 100. What is the probability that it is (3 marks)

(i) divisible by 7?
(ii) not divisible by 7?

Q10: Cards marked with the number 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from the box. Find the probability that the number on the card is: (3 marks)

(i) An even number
(ii) A number less than 14
(iii) A number is perfect square

Q11: 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. (3 marks)

Q12: Two dice are numbered 1, 2, 3, 4, 5, 6 and 1, 1, 2, 2, 3, 3, respectively. They are thrown, and the sum of the numbers on them is noted. Find the probability of getting each sum from 2 to 9 separately. (5 marks)

Q13: A bag consists of 10 red, 5 blue, and 7 green balls. A ball is drawn randomly. Find out the probability that this ball is a (5 marks)

(i) red ball
(ii) green ball
(iii) not a blue ball