Two cards are drawn from a standard deck of cards Determine

Two cards are drawn from a standard deck of cards. Determine the probability that the first card is a Heart and the second card is an Ace.

Solution

Here,

P(heart then ace) = P(heart) P(ace|first is heart of ace) + P(heart) P(ace|first is not heart of ace)

Thus,

P(heart then ace) = (1/4)(3/51) + (1/4)(4/51)

= 7/204 or 0.034313725    [ANSWER]