Question

Consider a standard 52 card deck, what is the probability of getting a heart and king with no replacement?

Answer 1

let us assume first card is heart and second is king

There are 13 cards of heart and 4 kings.

Then

Let A : P(first card heart second king without replacement)

             (this is assuming the first card drawn is not a king of heart and second term is if first card drawn is a king of heart)

Let B : P(first card is king second is heart without replacement)

         (this is assuming the first card drawn is not a king of heart and second term is if first card drawn is a king of heart)

Total probability = A + B

                             = 0.0343 + 0.0377

                             = 0.072

Probability of getting a heart and king with no replacement = 0.72