Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a heart for the second card drawn, if the first card, drawn without replacement, was a spade? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

You can solve this by dividing the amount of possible outcomes that agree with your result, by the amount of total possible outcomes. In this case, there are still 13 cards in the deck, as the card drawn before was not a heart, and total outcomes are represented by 51 cards, because the first card chosen was not replaced.

Your answer is then 13/51, or .2549