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.

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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.

 

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Expert Answer

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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