Question

Luke went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards.

Luke has had good luck at blackjack in the past, and he actually got three blackjacks with Queens in a row the last time he played. Because of this lucky run, Luke thinks that Queens are the luckiest card.
The dealer deals the first card to him. In a split second, he can see that it is a face card, but he is unsure if it is a Queen.
What is the probability of the card being a Queen, given that it is a face card? Answer choices are in a percentage format, rounded to the nearest whole number.
a) 8%
b) 4%
c) 33%
d) 77%

Answer 1

33%

Explanation:

Got it right on the test.

Answer 2

c) 33%

Explanation:

In a standard deck of cards, there are 52 cards total and of those 52, there are 12 face cards. One-third of those face cards are queens, (because there are 4 queens in a deck of cards, and
`(4)/(12)=(1)/(3)`). Therefore, there is a 33% chance that the card Luke holds is a queen.