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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