SOLUTION: P(G) = 0.5, P(H) = 0.6, and P(G|H′) = 0.25. Find P(G and H'), P(G or H), and P(P(G|H). I know that the answers are 1/10, 7/10, and 2/3 respectively, I'm just not sure how to

Algebra ->  Probability-and-statistics -> SOLUTION: P(G) = 0.5, P(H) = 0.6, and P(G|H′) = 0.25. Find P(G and H'), P(G or H), and P(P(G|H). I know that the answers are 1/10, 7/10, and 2/3 respectively, I'm just not sure how to       Log On


   

Question 192226: P(G) = 0.5, P(H) = 0.6, and P(G|H′) = 0.25. Find P(G and H'), P(G or H), and P(P(G|H). I know that the answers are 1/10, 7/10, and 2/3 respectively, I'm just not sure how to get them. Thank you!!
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
The first problem is:
:
since P(H)=.6 we know that P(H')=.4
:
P(G|H')=P(G and H')/P(H')
:
.25=P(G and H')/.4)---->P(G and H')=.4(.25)=.1 or 1/10
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