Question

A die is thrown once. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P(A ∪ B) is ______.

पर्याय

• `2/5`

• `3/5`

• 0

• 1

Answer 1

A die is thrown once. Let A be the event that the number obtained is greater than 3. Let B be the event that the number obtained is less than 5. Then P(A ∪ B) is 1.

Explanation:

A = {4, 5, 6} and B = {1, 2, 3, 4}

Here, A ∩ B = {4}

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

= `3/6 + 4/6 - 1/6`

= 1