Question

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade 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

Answer: 0.5049

Step-by-step explanation:

The probability that the first card drawn is a heart is 13/52 = 1/4

The probability that the second card drawn, without replacement, is a spade is 13/51

So the probability of drawing a heart for the first card and spade for the second card is

1/4 + 13/51 = 103 / 204 = 0 5049