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 the number of favorable and unfavorable outcomes

A standard deck has 52 cards. There are 13 spades (favorable outcomes). The number of non - spades is \(52 - 13=39\) (unfavorable outcomes).

Step2: Calculate the odds in favor

The odds in favor of an event \(E\) is given by the ratio of the number of favorable outcomes to the number of unfavorable outcomes. So, the odds in favor of drawing a spade is \(\frac{13}{39}\). Simplifying \(\frac{13\div13}{39\div13}=\frac{1}{3}\)

Answer:

\(1:3\)