Two cards are drawn one at a time from a full deck of cards. a) What's the probability they are an ace or a heart? b) What's the probability they are neither ace nor a heart?

Probability of ace drawn is: 4/52

Probability of heart drawn is: 13/52

For question (a)

P (ace or heart) = p (ace) + p (heart)

P (ace or heart) = 4/52 + 13/52

P (ace or heart) = 17/52

For question (b)

P (ace) ' = 1 - 4/52 = 48/52

P (heart) = 1 - 13/52 = 39/52

P (neither ace nor heart) = 48/52 * 39/52