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)

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)

parthkohli · Answer

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

anonymous · Answer

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

anonymous · Answer

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)

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Oh ok I see now, thanks!