Question

Suppose the probability of a soccer team winning a playoff game is 0.80. What are the odds of winning? Express your answer in the form a:b.I believe the answer to be 4:1 but Im not to sure

Answer 1

The odds of the soccer team winning are calculated by dividing the probability of winning by the probability of losing, which is 0.80 / 0.20, resulting in odds of 4:1.

Step-by-step explanation:

To calculate the odds of winning for the soccer team, we need to compare the probability of winning to the probability of losing. The probability of winning is given as 0.80 (or 80%). Since probabilities must sum to 1, the probability of losing is 1 - 0.80 = 0.20 (or 20%).

The odds can be expressed as the ratio of the probability of winning to the probability of losing. This can be calculated as (probability of winning) / (probability of losing) = 0.80 / 0.20 = 4/1. Therefore, the odds of the soccer team winning are 4:1, which you correctly believed to be the answer.

Answer 2

`0.80\text{ = }(10)/(10)\cdot0.8=(10\cdot0.8)/(10)=(8)/(10)=(4)/(5)`

Therefore, the odds of winning are 4:5