# Probability of Selecting Certain Marbles from a Bag

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A box contains 4 marbles: 2 red, one blue and one green. Two marbles will be selected at random. Find the probability of selecting each of the following.

A) with replacement B) without replacement

i A red marble and then a blue marble

ii Two blue marbles

iii No red marbles

iv No green marbles.

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##### Solution Summary

354-word solution with calculations showing how to work out the probability of selecting certain colored marbles from a mixed bag both with and without replacement.

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A) with replacement

i A red marble and then a blue marble

probability of one red marble is 0.5 (or 50%)

probability of a blue is 0.25

Therefore, the probability in that order is 0.5 x 0.25 = 0.125

ii Two blue marbles

probability of one blue is 0.25

probability of another blue is the same

therefore, the probability of two blues is 0.25 x 0.25 = 0.0625

iii No red marbles

probability of either a blue or a green is 0.50 (2 out of 4)

probability of ...

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