Question

one card is randomly selected from a deck of cards. find the odds in favor of drawing a spade. click the icon to view a description of a standard deck of playing cards. the odds in favor of drawing a spade are :. (simplify your answers.)

Explanation:

Step1: Determine number of spades and non - spades

A standard deck has 52 cards. There are 13 spades and \(52 - 13=39\) non - spades.

Step2: Calculate odds in favor

The odds in favor of an event is the ratio of the number of favorable outcomes to the number of non - favorable outcomes. So the odds in favor of drawing a spade is \(\frac{13}{39}\).

Step3: Simplify the ratio

\(\frac{13}{39}=\frac{1}{3}\), and the odds in favor are written as \(1:3\).

Answer:

\(1:3\)