Class 10 - Chapter 14: Probability

Section A (1 Mark each)

Q1. If $P(E) = 0.07$, then what is the probability of 'not E'?

(a) 0.93 (b) 0.03 (c) 0.07 (d) 0.90

Q2. Which of the following cannot be the probability of an event?

(a) $\frac{2}{3}$ (b) $-1.5$ (c) $15\%$ (d) $0.7$

Q3. The probability of an impossible event is:

(a) 1 (b) $\frac{1}{2}$ (c) 0 (d) Not defined

Q4. Assertion (A): The probability of getting a prime number in a single throw of a die is $\frac{1}{2}$.
Reason (R): The prime numbers on a die are 2, 3, and 5.

(a) Both A and R are true and R is the correct explanation of A. (b) Both A and R are true but R is not the correct explanation of A. (c) A is true but R is false. (d) A is false but R is true.

Section B (2 Marks each)

Q5. A coin is tossed twice. Find the probability of getting at least one head.

Solve on white paper.

Q6. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag. What is the probability that the ball drawn is (i) red? (ii) not red?

Solve on white paper.

Q7. A die is thrown once. Find the probability of getting (i) an odd number; (ii) a number lying between 2 and 6.

Solve on white paper.

Section C (3 Marks each)

Q8. One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting:
(i) a king of red color
(ii) a face card
(iii) a spade

Solve on white paper.

Q9. Two dice are thrown simultaneously. Find the probability that the sum of the two numbers appearing on the top is 8.

Solve on white paper.

Section D (5 Marks)

Q10. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, find the probability that it bears:
(i) a two-digit number
(ii) a perfect square number
(iii) a number divisible by 5

Solve on white paper.

Section E (4 Marks)

Q11. Case Study: Game of Chance

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, and these are equally likely outcomes.

(i) What is the probability that it will point at 8?

(ii) What is the probability that it will point at an odd number?

(iii) What is the probability that it will point at a number greater than 2?

Solve on white paper.