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I need help with this probability question. Let A and B be two events in a sample space S?
Can you help me figure this out?? I can't get the right answer.
Let A and B be two events in a sample space S such that P(A) = 0.6, P(B) = 0.5, and P(A intersection B) = 0.25. Find the probabilities below.
Hint: (A intersection Bc) union (A intersection B) = A.
(a) P(A|Bc)
(b) P(B|Ac)
1 Answer
- eDennisLv 69 years agoFavorite Answer
It helps to draw a Venn diagram - i'd do my best
A = .6
----------------------------
..................=============== B = .5
...................XXXX A intersect B = .25
From the picture you can see that A intersect B complement is .35
Algebraically: P(A) = .6 = P(A and B) + P(A and compB) = .25 + what?.
I let you do the rest. Key: draw diagrams whenever possible