Question

A gambler in Las Vegas is cutting a deck of cards for $1,000. What is the probability that the card for the gambler will be the following?a. A face cardb. A queenc. A spaded. A jack of spades

Answer 1

Answer:

a. 3/13 or 23.08%

b. 1/13 or 7.69%

c. 1/4 or 25.00%

d. 1/52 or 1.92%

Step-by-step explanation:

Number of cards in a deck = 52

a. A face card

Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:

$P_{F} =\frac{3*4}{52}\\ P_{F} =\frac{3}{13}$

b. A queen

There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:

$P_{Q} =\frac{4}{52}\\ P_{Q} =\frac{1}{13}$

c. A spade

There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:

$P_{S} =\frac{1}{4}$

d. A jack of spades

Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:

$P_{J+S} =\frac{1}{52}$