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A bag initially contained 4 white marbles and 9 black marbles. A marble was drawn and...

A bag initially contained 4 white marbles and 9 black marbles. A marble was drawn and replaced by two marbles of the opposite colour. Then another marble was drawn and also replaced by two marbles of the opposite colour. A third marble was then drawn. Find the probability that the first marble drawn was white if:

(a) the third marble drawn was white

(b) both the second and third marbles drawn were white.

Math   Statistics-And-Probability   
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Answer #1

I have attached the answer below . Once we draw the flowchart and all cases . All answers are obtained from it.

Note that the flow is drawn following the rule that a marble is drawn and replaced with 2 opposite colors.

Hope you understand . Happy learning.

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