If you have 3 quarters, 5 dimes, and 2 nickels in your pocket what is the probability you will pick a dime and then a quarter without putting the dime back in your pocket?
10 coins to start 5 dimes 5 out of 10 to pick a dime first 5/10
9 coins left 3 quarters 3 out of 9 to pick a Q 3/9
5/10 * 3/9 = 15/90 = 1/6