Question

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

Answer 1

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)`