Question

A) lena entered a raffle to win a movie ticket. The probability that she wins a movie ticket is 8/17. Find the odds in favor of her winning a movie ticket.B) keth is watching his favorite soccer team playing a match. The odds against his favorite team winning are 9/4. What is the probability of his favorite team winning?

Answer 1

A) The given information is:

The probability that Lena wins a movie ticket is 8/17.

This probability is given by:

`P(winning)=\frac{favorable\text{ number of outcomes}}{total\text{ number of outcomes}}`

The odds is favor are given by:

`\text{ Odds in favor}=\frac{favorable\text{ outcomes}}{unfavorable\text{ outcomes}}`

We can find the unfavorable outcomes by subtracting the number of favorable outcomes from the total number of outcomes, so:

Unfavorable outcomes=17-8=9.

So, the odds in favor are:

`Odds\text{ }in\text{ }favor=(8)/(9)`

B) The given information is:

The odds against Keith's favorite team winning are: 9/4

The odds against are given by:

`Odds\text{ }against=\frac{\text{ unfavorable outcomes}}{\text{ favorable outcomes}}`

The total number of outcomes is: unfavorable+favorable = 9+4=13

So, the probability of his favorite team winning is:

`\begin{gathered} P(winning)=\frac{favorable\text{ outcomes}}{total\text{ number of outcomes}} \\ P(winning)=(4)/(13) \end{gathered}`