Question

what are the odds of drawing an ace from a standard 52 - card deck?
a. 4 to 48
b. 1 to 12
c. 1 to 52
d. 1 to 13

Explanation:

Step1: Calculate the number of favorable and unfavorable outcomes

In a standard 52 - card deck, there are 4 Aces (favorable outcomes) and \(52 - 4=48\) non - Aces (unfavorable outcomes).
The odds of an event \(E\) is defined as the ratio of the number of favorable outcomes to the number of unfavorable outcomes.
So the odds of drawing an Ace is \(4:48\).

Step2: Simplify the ratio

Divide both terms of the ratio \(4:48\) by 4.
\(\frac{4}{4}:\frac{48}{4}=1:12\)

Answer:

B. 1 to 12