• Feb 3rd 2010, 06:18 PM
MathGuy1
Hi all,
I'm working on a math assignment for a class, and am stuck on a question. It reads:

Suppose an experiment has independent events A, B, and C such that:
P(A | C) = 0.4
P(B | C) = 0.25
P(B' U C) = 0.8 (supposed to read "Probability of B complement OR C")

Find the probability that exactly one of A, B, or C occurs.

Hope someone can help!
• Feb 3rd 2010, 09:08 PM
matheagle
IF they are independent, then P(A)=.4, P(B)=.25....

I think you're asking for P(AB'C')+P(A'BC')+P(A'B'C)
• Feb 3rd 2010, 09:12 PM
MathGuy1
Quote:

Originally Posted by matheagle
IF they are independent, then P(A)=.4, P(B)=.25....

I think you're asking for P(AB'C')+P(A'BC')+P(A'B'C)

Suppose an experiment has independent events A, B, and C such that:
P(A | C) = 0.4
P(C | B) = 0.25
P(B' U C) = 0.8 (supposed to read "Probability of B complement OR C")

Find the probability that exactly one of A, B, or C occurs.

I understand that P(A)=0.4, and P(C)=0.25, but what is the easiest way to find P(B)?

thanks
• Feb 3rd 2010, 09:24 PM
matheagle
Use the complement of the third one....P(BC')=.2

.2=P(B)P(C')=P(B)(.75)