Question

In the game of euchre, the deck consists of the 9, 10, jack, queen, king and ace of each suit. players are dealt a five card hand. what is the probability that a player is dealt 4 hearts

Answer 1

0% because the deck only has 9s, 10s, jacks, queens, kings, and aces. There is no others cards accept those. So you cannot get a 4 of hearts because it’s not in the deck.

Answer 2

There are 6 hearts in the 24 card deck. The probability that the first player who is dealt a 5 card hand gets 4 hearts is given by:
$\frac{6C4\times18C1}{24C5}=0.00635$
The answer is: 0.00635 or 0.635%