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Assume that you select 2 coins at random from 8 coins: 5 dimes and 3 quarters. What is the probability that all of the coins selected are dimes? Enter your answer as a fraction
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Assume that you select 2 coins at random from 8 coins: 5 dimes and 3 quarters.

What is the probability that all of the coins selected are dimes? Enter your answer as a fraction

User Downatone
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1 Answer

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If the coins are selected without replacement, the probability of 2 dimes is:
(5)/(8)*(4)/(7)=(5)/(14)
The answer is 5/14.
Using the formula for a hypergeometric distribution, we get:

P(2\ dimes)=(5C2*3C0)/(8C2)=(5)/(14)
User Alejandro Vargas
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