Question

Asked Oct 17, 2019

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Suppose you have 3 jars with the following contents. Jar 1 has 1 white ball and 1 black ball. Jar 2 has 2 white balls and 3 black balls. Jar 3 has 1 white ball and 1 black ball. One jar is to be selected, and then 1 ball is to be drawn from the selected jar. The probabilities of selecting the first, second, and third jars are 1/2,1/3, and 1/6 respectively. Find the probability the ball was drawn from Jar 3, given that the ball is white.

Step 1

Consider,

*J1* be the jar one that has 1 white ball and 1 black ball.

*J2* be the jar two that has 2 white ball and 3 black ...

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