Answer: The probability that a player is dealt 5 cards with at least one heart is approximately 0.7785.
Explanation:
There are 52 cards and 13 cards in each suit (clubs, spades, hearts, and diamonds).
We have 13 hearts and 39 other cards. Using the complement rule, we will find the probability of being dealt with at least one heart. Note the following:
P(being dealt at least one heart) = 1 - P(being dealt no hearts)
=1−(395)(525)
≈0.7785.
The probability that a player is dealt 5 cards with at least one heart is approximately 0.7785.