Free Test Probability – JEE

Q1: What is the probability of getting a sum of 7 when two dice are thrown?

A. 1/6 B. 1/9 C. 1/12 D. 1/36

Q2: If A and B are independent events, then P(A ∩ B) = ?

A. P(A) + P(B) B. P(A) × P(B) C. P(A) − P(B) D. None of these

Q3: A coin is tossed 3 times. What is the probability of getting exactly 2 heads?

A. 3/8 B. 1/2 C. 5/8 D. 7/8

Q4: A card is drawn from a deck. Probability of getting a king?

A. 1/52 B. 1/13 C. 4/13 D. 1/4

Q5: A bag has 4 red and 6 green balls. Probability of drawing 2 red balls?

A. 2/15 B. 1/3 C. 2/9 D. 1/5

Q6: What is the probability of getting a prime number when a die is rolled?

A. 1/2 B. 1/3 C. 2/3 D. 1/6

Q7: If P(A) = 0.4, P(B) = 0.5, and A, B are mutually exclusive, then P(A ∪ B) = ?

A. 0.9 B. 0.2 C. 0.1 D. 1.0

Q8: Two cards are drawn without replacement. Find probability both are aces.

A. 1/221 B. 1/13 C. 1/26 D. 1/169

Q9: If a fair die is thrown, what is the probability of getting a number greater than 4?

A. 1/3 B. 1/6 C. 1/2 D. 2/3

Q10: Probability of getting at least one head in 2 coin tosses?

A. 1/4 B. 1/2 C. 3/4 D. 7/8

Q11: In a class of 30 students, 10 like math, 15 like physics, and 5 like both. Probability a random student likes at least one?

A. 2/3 B. 4/5 C. 3/4 D. 1/2

Q12: Two dice are thrown. Probability that sum is even?

A. 1/2 B. 5/12 C. 1/3 D. 2/3

Q13: Probability of getting 3 heads in 3 coin tosses?

A. 1/8 B. 3/8 C. 1/2 D. 1/4

Q14: Probability of drawing a heart from a pack of cards?

A. 1/2 B. 1/3 C. 1/4 D. 1/13

Q15: If P(E) = 0.7, what is the probability of not E?

A. 0.3 B. 0.7 C. 1.3 D. 0.5

Q16: A and B are events with P(A) = 0.3, P(B) = 0.4, P(A ∩ B) = 0.2. Find P(A ∪ B).

A. 0.5 B. 0.7 C. 0.9 D. 1.0

Q17: Probability of getting an odd number on a die?

A. 1/2 B. 1/3 C. 2/3 D. 5/6

Q18: Three coins are tossed. Probability of getting exactly one tail?

A. 3/8 B. 1/4 C. 1/2 D. 1/8

Q19: If two balls are drawn at random from a bag with 3 red and 2 blue, find the probability both are red.

A. 3/10 B. 2/5 C. 1/2 D. 1/5

Q20: In tossing two fair coins, the probability of getting at most one head is?

A. 1/2 B. 3/4 C. 1/4 D. 2/3

Quiz for Probability