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A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

A day full of math games & activities. Find one near you.

# If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be

0.0325, 0.8, 0.65, 0.05

**Solution:**

P(A) = 0.05 and P(B) = 0.65

We know that the conditional probability of A given B = P(A/B)

if A and B are independent events P(A/B) = P( A ∩ B)/ P (B)

P( A ∩ B) = P(A) × P(B)

Thus P(A/B) can be written as

P (A/B) = [P (A) × P (B)]/ P (B)

P (A/B) = P (A) = 0.05

Therefore, P (A/B) = 0.05.

## If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be

0.0325, 0.8, 0.65, 0.05

**Summary:**

If A and B are independent events with P(A) = 0.05 and P(B) = 0.65, then P(A|B) will be 0.05.

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