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Numerade Educator

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Problem 41 Easy Difficulty

J and K are independent events. P(J|K) = 0.3. Find P(J).

Answer

0.3

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Video Transcript

Hi. We're looking at question number 41 and it tells us that J and K are independent events, which is an important thing to keep in mind. To answer this question correctly. So Jay and care, independent events. And it asks us to find the probability of J. And we're told that the probability of J given Kay is equal to 0.3. So if you remember, the definition for independent events are a way to check for independent events. Is if the probability of a given B this equal to the probability of a so this works in reverse is Well, if we know the events are independent, then we know that the probability of Jacob K. Is equal to the probability of J. So the probability of J has to be 0.3, and that's all there is to it. So just remember, your way of checking independent events is the probability of a given. B equals the probability of a And so if you're told you haven't event an independent events, if you know the probability of either a or a gonna be, you know, the probably the other one, because they're always equal. Thanks. Have a good day