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Advanced MathQ&A LibraryAssume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the ball is yellow, it is replaced; otherwise, it is not. A second ball is then drawn and its color is noted.What is the probability that the first ball was yellow, given that the second was red?Question

Asked Oct 1, 2019

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Assume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the ball is yellow, it is replaced; otherwise, it is not. A second ball is then drawn and its color is noted.

What is the probability that the first ball was yellow, given that the second was red?

Step 1

From the given information, the total number of balls 7. There are 2 red, 2 blue and 3 yellow balls.

Step 2

Obtain the first ball was yellow, given that the second was red as follows.

The sample space is given below.

Step 3

probability as ...

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