Question

If you draw a random card from a standard deck of 52 cards, what are the odds of drawing the jack, queen, king, or ace of clubs? Write your answer in the form a:b as a fully reduced ratio. Note: In a standard deck of cards, each of the four suites has three face cards.

Answer 1

2:11

Explanation:

There are 4 aces and 4 nines in a standard 52 card deck, so there are 8 favorable outcomes, and 52−8=44 unfavorable outcomes. The odds of drawing an ace or a 9are 8:44. Both numbers are divisible by 4, so this ratio can be simplified to 2:11.

Answer 2

12:52

Explanation:

almost every card game has 52 cards, you have a 23% chance to draw a face card of any kind.

There are a king, queen, and jack for each of the four different suits: hearts, spades, clubs, and diamonds. The four suits have 13 cards each, for a total of 52 cards. Therefore, your chance of drawing a face card out of a deck of cards upon choosing the card at random is 12 out of 52, or about 23%.