Question

If A and B are independent events, P(A) = 0.25, and P(B) = 0.45, find the probabilities below. (Enter your answers to four decimal places.)

(a) P(A ∩ B)


(b) P(A ∪ B)


(c) P(A | B)


(d) P(Ac ∪ Bc)

Answer 1

to get P(A union B), you multiply the probabilities.

Answer 2

I got a and c, need help with b and d.

Answer 3

b) P(A or B) = P(A) + P(B) - P(A and B)

d) P(~A or ~B) = P(~ (A and B)) = 1 - P(A and B)

Answer 4

Thanks! Still stuck on d.. how do I get P(~ (A and B))? @sourwing

Answer 5

P(~ (A and B)) = 1 - P(A and B)

Answer 6

Oh ok I see now, thanks!