Question

the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9the odds in favor of frank mckinnis winning a hot dog eating contest are 2:9​

Answer 1

1. 18.2 %

2. 81.8 %

Explanation:

The following information is missing:

1. Determine the probability that Frank will win the contest
2. Determine the probability that Frank will not win the contest

The odds are 2:9, that means 2 favorable outcomes and 9 unfavorable outcomes, which means that the total possible outcomes are 9+2 = 11

To probability of winning is: favorable outcomes/total possible outcomes = 2/11 = 0.182 or 18.2%

To probability of not winning is: unfavorable outcomes/total possible outcomes = 9/11 = 0.818 or 81.8%

Answer 2

Consider the complete question is,

'The odds in favor of frank McKinney winning a hot dog eating contest are 2:9,

• Determine the probability that Frank will win the contest,

• Determine the probability that Frank will not win the contest'

Solution :

We know that,

Odds in favor : the ratio of the number of ways that an outcome can occur compared to how many ways it cannot occur.

We have,

`\frac{\text{Number of ways of winning the contest}}{\text{Number of ways of not wining the contest}}=(2)/(9)`

So, total outcomes = 2 + 9 = 11,

`\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}`

Thus, the probability that Frank will win the contest =
`(2)/(11)`

And,

The probability that Frank will win the contest =
`(9)/(11)`