Find the probability of the following card hands from a 52-card deck. In poker, aces are either high or low. A bridge hand is made up of 13 cards.
-In poker, four of a kind (4 cards of the same value)
A)0.000240
B)0.0000200
C)0.0000185
D)0.000434

Question

Quizplus · Accepted Answer

The probability of getting a four of a kind in a 5-card poker hand from a 52-card deck is calculated by first choosing the rank of the four similar cards (13 ways to do this), and then choosing the fifth card from the remaining 48 cards. The total number of possible 5-card hands is 52 choose 5. Therefore, the probability is (13 * 48) / (52 choose 5) = 0.000240.

Find the Probability of the Following Card Hands from a 52-Card