Math Probability

Question

Suzy has the following coins in her change purse: 4 dimes, 5 nickels, and 1 penny. If she pulls two coins from her purse ( one at a time) without replacing them, what is the probability that she will select a dime first and then a nickel?

Answer 1

Probability of a dime first is 2/5

and the the probability of a nickel second is 5/9.

Overall probability=(2/5)*(5/9) = 2/9.