Question

there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value

Answer 1

The first coin chosen can be either a dime or nickel as the second coin must be of greater value.
P(dime followed by quarter) = 2/5 x 2/4 = 4/20 = 1/5
P(nickel followed by quarter or dime) = 1/5 x 4/4 = 1/5

P(second coin has higher value) = 1/5 + 1/5 = 2/5