A group of 4 friends are playing a card game using a standard deck of 52 cards. Each friend receives one card from the deck, and the next card is flipped up. Only one of the friend has a card that matches the suit of the flipped up card. What is the probability that only one person is able to have a suit that matches the suit of the card that's flipped up?
My work (it's most likely wrong):
Let's say that the turned up card is a hearts. There are 13 hearts in a deck of hearts.
Only one of the cards is a hearts (13). The rest of the cards are not hearts (39, 38, 37).
The probability that one player has the matching suit -> 13/712,842.
The number is too small, and I feel that I did something wrong.