Question

Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(A U B) = 0.7. (a) Find P(A ? B). (b) Find P(? U ?). (c) Find P(? ? ?). (d) Find P(?|B). (Enter your probability as a fraction.)

          Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(A U B) = 0.7.
(a) Find P(A ? B).
(b) Find P(? U ?).
(c) Find P(? ? ?).
(d) Find P(?|B). (Enter your probability as a fraction.)
        
Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(A U B) = 0.7.
(a) Find P(A ? B).
(b) Find P(? U ?).
(c) Find P(? ? ?).
(d) Find P(?|B). (Enter your probability as a fraction.)

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Two events A and B are such that P(A) = 0.4, P(B) = 0.5, and P(A U B) = 0.7. (a) Find P(A ∩ B). (b) Find P(Ā U Ē). (c) Find P(Ā ∩ Ē). (d) Find P(Ā|B). (Enter your probability as a fraction.)
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Transcript

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00:01 All right, so we want to find the probabilities of these events.
00:04 So for a, find a probability of their intersection.
00:09 That's just equal to the probability of a plus the probability of b minus the probability of their union.
00:25 So that's going to be 0 .4 plus 0 .5 minus 0 .7.
00:33 So it's just 0 .2.
00:35 For b, we want to find a probability of the a complement, u and b complement.
00:48 So to do that, that would just be the intersection, which is a probability of a intersect b and a complement of that.
00:58 So that's going to be 1 minus 0 .2, so it's a 0 .8...
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