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polet [3.4K]
2 years ago
8

Given that the P(A) = .3, P(B) = .5 and P(AnB) = .25, decide if the

Advanced Placement (AP)
1 answer:
Darina [25.2K]2 years ago
6 0

Answer:

A and B are not independent

Explanation:

Given

P(A) = .3,

P(B) = .5

P(A\ n\ B) = .25

Required

Determine if A and B are independent

If A and B are independent, then:

P(A\ n\ B) = P(A) * P(B)

Substitute values for P(A) and P(B)

P(A\ n\ B) = .3 * .5

P(A\ n\ B) = .15

The calculated value of P(A n B) and the given value of P(A n B) are not equal.

i.e.

.15 \ne .25

<em>Hence, A and B are not independent</em>

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