Andrea's change purse contains 8 quarters 9 dimes and 8 nickels. If she shows two coins randomly without replacing them in her purse what is the probability she chose two dimes?

A) 2/5

B) 3/25

C) 27/200

D) 72/625

there are 9 dimes in a total of 8+9+8=25 coins

The probability to choose one first is 9/25

Now there are 8 dimes in 24 coins and the probability to get a second dime is 8/24=1/3

The solution will be: (9/25) x (1/3) = 3/25 then the answer is "B"