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:
[tex]P_{F} =\frac{3*4}{52}\\ P_{F} =\frac{3}{13}[/tex]
b. A queen
There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:
[tex]P_{Q} =\frac{4}{52}\\ P_{Q} =\frac{1}{13}[/tex]
c. A spade
There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:
[tex]P_{S} =\frac{1}{4}[/tex]
d. A jack of spades
Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:
[tex]P_{J+S} =\frac{1}{52}[/tex]
