Question

question 6, *3.1.04
hw score: 57.14%, 4 of 7 points
o points: 0 of 1
the chances of winning are often written in terms of odds rather than probabilities. the odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. the odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. for example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is 3, the odds of winning are 2:3 (read \2 to 3\) or \\(\frac{2}{3}\\). a card is picked at random from a standard deck of 52 playing cards. find the odds that it is a heart.

the odds that it is a heart are \\(\square: \square\\)
(simplify your answer)

Explanation:

Step1: Determine successful and unsuccessful outcomes

In a standard deck of 52 cards, there are 13 hearts (successful outcomes, since we want the card to be a heart) and \(52 - 13=39\) non - heart cards (unsuccessful outcomes).

Step2: Calculate the odds of winning (getting a heart)

The odds of winning (getting a heart) is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. So the odds of getting a heart is \(\frac{13}{39}\), which simplifies to \(\frac{1}{3}\) (or 1:3).

Answer:

\(1:3\) (or \(\frac{1}{3}\))