Question

Assertion (A): In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is `2/3`.

Reason (R): For any two events A and B, P(A|B) = `(P(A ∪ B))/(P(B))`

पर्याय

• Both Assertion (A) and Reason (R) are true, and the Reason (R) is the correct explanation of the Assertion (A).

• Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).

• Assertion (A) is true, and Reason (R) is false.

• Assertion (A) is false, and Reason (R) is true.

Answer 1

Assertion (A) is true, and Reason (R) is false.

Explanation:

In a die throw, the odd numbers are {1, 3, 5} and odd primes are {3, 5}, making P(A|B) = `2/3`,

However, the formula for P(A|B) = `(P(A ∩ B))/(P(B))`, not `(P(A ∪ B))/(P(B))`.