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 bridge, all cards in one suit
A)0.0000000000314
B)0.00000000000157
C)0.00000000000630
D)0.00000000000314

Question

Quizplus · Accepted Answer

The probability of getting all cards in one suit in a bridge hand (13 cards) from a 52-card deck is calculated by dividing the number of ways to choose 13 cards from a single suit by the total number of ways to choose 13 cards from the entire deck. There are 4 suits, and for each suit, there are $ \binom{13}{13} = 1 $ way to choose all 13 cards (since you're choosing all the cards in that suit). The total number of ways to choose 13 cards from the 52-card deck is $ \binom{52}{13} $. Therefore, the probability is $ \frac{4 \times 1}{\binom{52}{13}} = \frac{4}{\binom{52}{13}} $. When calculated, this gives the probability as approximately $ 0.00000000000157 $, which corresponds to choice B.

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