Question

Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places.

Answer 1

Total cards = 52

First card was a heart, so now card left = 51

number of diamond in a deck = 13

Probability of choosing a diamond for the second card drawn, if the first card, drawn without replacement, was a heart= 13/51 = 0.2549