When a single card is drawn from a shuffled deck of cards, find the odds in favor of getting an ace.
A)1:12
B)51:1
C)1:51
D)12:1

Question

Quizplus · Accepted Answer

There are 4 aces in a deck of 52 cards. Therefore, the probability of drawing an ace is 4/52 or 1/13. The odds in favor of getting an ace are the number of ways to draw an ace over the number of ways to not draw an ace. There are 4 ways to draw an ace and 48 ways to not draw an ace (since there are 48 non-aces left in the deck after one card is drawn), so the odds in favor of getting an ace are 4:48 which simplifies to 1:12. There are four aces in a deck of 52 cards. Therefore, the odds in favor of getting an ace are 4 out of 52, or 1 out of 13. This can be simplified to a ratio of 1:12.

When a Single Card Is Drawn from a Shuffled Deck