A standard deck of cards has 13 cards that are clubs and 13 cards that are hearts. A card is chosen from a standard deck of cards. It is then replaced, and a second card is chosen from the deck.
What is P(at least one card is a heart)?
three fourths
one half
one fourth
1 over 26
The probability of pulling a heart on the first draw is 13/52 (since there are 13 hearts out of 52 cards total). The probability of not pulling a heart on the first draw is 39/52.
Therefore, the probability of at least one heart being drawn is given by: 1 - (probability of not pulling a heart on either draw)
= 1 - (39/52 * 39/52)
= 1 - (1521 / 2704)
= 1 - 0.56353658537
= 0.43646341463
So, the probability of at least one card being a heart is approximately 0.44, or 44%.
Therefore, the answer is one fourth.