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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?

A Lena Entered A Raffle To Win A Movie Ticket The Probability That She Wins A Movie Ticket Is 817 Find The Odds In Favor Of Her Winning A Movie TicketB Keth Is class=

Sagot :

A) The given information is:

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

This probability is given by:

[tex]P(winning)=\frac{favorable\text{ number of outcomes}}{total\text{ number of outcomes}}[/tex]

The odds is favor are given by:

[tex]\text{ Odds in favor}=\frac{favorable\text{ outcomes}}{unfavorable\text{ outcomes}}[/tex]

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:

[tex]Odds\text{ }in\text{ }favor=\frac{8}{9}[/tex]

B) The given information is:

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

The odds against are given by:

[tex]Odds\text{ }against=\frac{\text{ unfavorable outcomes}}{\text{ favorable outcomes}}[/tex]

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

So, the probability of his favorite team winning is:

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

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