Two cards are drawn without replacement from a standard deck of 52
playing cards. What is the probability of choosing a heart and then, without replacement, another heart? Express your answer as a fraction or a decimal number rounded to four decimal places.
There are 13 hearts in a standard deck of 52 playing cards.
The probability of choosing a heart on the first draw is 13/52.
After drawing a heart on the first draw, there are now only 12 hearts left in the deck out of 51 cards remaining. Therefore, the probability of choosing another heart on the second draw is 12/51.
To find the overall probability of choosing a heart and then another heart, we multiply the individual probabilities:
(13/52) * (12/51) = 0.0588
Therefore, the probability of choosing a heart and then, without replacement, another heart from a standard deck of 52 playing cards is 0.0588 or approximately 0.0588.