SOLUTION: given that p(a)=0.4, p(b)=0.4, and p(a and b)=0.10, determine p(a|b)

SOLUTION: given that p(a)=0.4, p(b)=0.4, and p(a and b)=0.10, determine p(a|b)

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Question 384642: given that p(a)=0.4, p(b)=0.4, and p(a and b)=0.10, determine p(a|b)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Using the idea that

P(A | B) = P(A and B)/P(B), this means that

p(a|b) = p(a and b)/p(b)

p(a|b) = 0.10/0.4=0.25

So p(a|b) = 0.25
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