SOLUTION: Given that A and B are two independent events with respective probabilities 0.45 and 0.30 compute p(A n B) (b)p(a U B) c)p(A/B)

Question 1038704: Given that A and B are two independent events with respective probabilities 0.45 and 0.30 compute p(A n B) (b)p(a U B) c)p(A/B)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
since these are independent events, then p(A and B) is equal to p(A) * p(B).
p(A) is equal to .45
p(B) is equal to .30
p(A and B) is equal to .45 * .30 = .135.

p(A or B) is equal to p(A) + p(B) - p(A and B).
this makes p(A or B) equal to .45 + .30 - .135 = .615.

p(A given B) is equal to p(A and B) / p(B).
this makes p(A given B) equal to .135/.30 = .45

note that, since the events are independent, p(A given B) is the same as p(A).

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