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Numerade Educator

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Problem 42 Easy Difficulty

U and V are mutually exclusive events. P(U) = 0.26; P(V) = 0.37. Find:
a. P(U AND V) =
b. P(U|V) =
c. P(U OR V) =

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DG

David Base G.

October 26, 2020

Finally, now I'm done with my homework

Video Transcript

Hi. We're looking at Question 42. Um, we're told that the probability for you is equal to 0.26 and the probability of V is equal to 0.37 And we're told that you and V are mutually exclusive. And what that means is that the two can't happen at the same time. So it's a three part question. So for her, eh, they want us to find the probability of you and the so since the probability of U and V, if they weren't mutually exclusive, you could add the two and subtracts what they had in common. But since they're mutually exclusive, that means that can't happen at the same time. So you couldn't have a probability for you and be so that would be zero. Part B asked us to find the probability of you given the we have a similar problem here because you if they can't happen at the same time, they can't happen. The one given the other happens because they wouldn't happen at the same time. So that one is also zero. And I'm gonna go to a new spring to do the last one, because that has a little more work to it. Um, so for part C, we want to find the probability of you or V, So even though they can't happen at the same time, it could happen one or the other. And in this case, because they're mutually exclusive, they can't both happen. So this one is simply going to be adding the two probabilities together. So take the probability of you, which is 20.26 plus the probability of V, which is 0.37 and we add those together and we get 0.63 I hope that's helpful.