A piggybank contains 2 quarters, 3 dimes, 4 nickels, and 5 pennies. One coin is removed at random. What is the probability that the coin is a dime or a nickel?

A piggybank contains 2 quarters, 3 dimes, 4 nickels, and 5 pennies. One coin is removed at random. What is the probability that the coin is a dime or a nickel?

14 total coins;

3 dimes

4 nickels.

Thus, the probability that it is a dime OR a nickel is 3/14 + 4/14 = 7/14, or 1/2.