Question

in a deck of 52 cards, what are the odds against drawing a heart? a. 39 to 13 b. 3 to 1 c. 13 to 39 d. 1 to 3

Explanation:

Step1: Calculate the number of non - heart cards

In a standard deck of 52 cards, there are 13 hearts. So the number of non - heart cards is \(52 - 13=39\).

Step2: Determine the odds against drawing a heart

The odds against an event is the ratio of the number of unfavorable outcomes to the number of favorable outcomes. Here, the unfavorable outcomes (not drawing a heart) is 39 and the favorable outcomes (drawing a heart) is 13. So the odds against drawing a heart is \(39:13\). Simplifying the ratio \(\frac{39}{13}:\frac{13}{13}=3:1\)

Answer:

B. 3 to 1