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# Probability: Random Selection

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Two balls are drawn in succession from a box containing 4 red and 2 white balls.
a) What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn?
b)What is the probability of drawing a red ball on the second draw if the first one is put back in the box after it is drawn?

##### Solution Summary

A random selection probability problem is solved.

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Part (a)
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There are two ways in which you can draw a red ball on the second draw : (i) You draw a red ball in Draw 1 and then draw another red ball on Draw 2 (without putting the first one back!) OR (ii) You draw a white ball in Draw 1 and then draw a red ball on Draw 2 (again without putting the first one back!)

Since there are 4 red balls and 2 white balls in the box, the probability of drawing a red ball in Draw 1 is 1/4 (one ...

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