ANSWER FAST 30 PTS
P(B) = 2/3

P(A ∩ B) = 1/6

What will P(A) have to be for A and B to be independent?

Step-by-step explanation:

ll the answers so far use the addition rule for probability:

P(A∪B)=P(A)+P(B)−P(A∩B)

and then noting that P(A∩B)=P(A)⋅P(B) because A and B are independent. This is a perfectly reasonable approach to obtain the 2/3.

Another way to think about the problem is that P(A∪B) is the probability of either A or B (or both), and this must be equal to one minus the probability that A does not happen and that B does not happen. Symbolically,

P(A∪B)=1−P(A′∩B′).

where A′ and B′ are, respectively, the events “not A” and “not B”. Since A and B are independent, so are A′ and B′, therefore

1−P(A′∩B′)=1−P(A′)⋅P(B′)=1−(1−P(A))⋅(1−P(B))=1−12⋅23=23.

the answer to this question is 23

Step-by-step explanation:

correct answer is b. 27/8

step-by-step explanation:

step-by-step explanation:

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