# Probability: Random Selection

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?

https://brainmass.com/math/probability/probability-random-selection-10282

#### Solution Preview

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 ...

#### Solution Summary

A random selection probability problem is solved.