If #P(A) = .7, P(B) = .5#, and #P(B|A)=.4#, what is #P(A# and #B)#?

Answer 1

Madeline Alexander

.28

#P(A ,B) = P(B|A)*P(A)#

thus

.7 * .4 = .28

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Answer 2

Emery Adams

To find P(A and B), you can use the formula for conditional probability:

P(B|A) = P(A and B) / P(A)

Rearrange the formula to solve for P(A and B):

P(A and B) = P(B|A) * P(A)

Given that P(A) = 0.7 and P(B|A) = 0.4, substitute these values into the formula:

P(A and B) = 0.4 * 0.7

Calculate:

P(A and B) = 0.28

Therefore, P(A and B) is 0.28.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.