Question
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The winner of a raffle will receive a 21 -foot outboard boat. If 1000 raffle tickets were sold
and you purchased 10 tickets, what are the odds against your winning the boat?
The odds against winning the boat are . (Simplify your answers.)

Ask by Bowman May. in the United States
Mar 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The odds against winning the boat are .

Solution

We start by finding the probability of winning. Since you purchased tickets out of , the probability of winning is
Next, the probability of not winning (losing) is
The odds against winning are given by the ratio of the probability of losing to the probability of winning. Therefore, the odds are
Thus, the odds against your winning the boat are .

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

To find the odds against winning the boat, we first need to determine the number of tickets you didn’t purchase. Since there were 1000 tickets sold and you bought 10, this means 990 tickets were not purchased by you. The odds against winning are the ratio of losing tickets to winning tickets.
You have 10 winning tickets, and there are 990 losing tickets. Therefore, the odds against winning the boat are 990:10.
Now, simplify the ratio by dividing both sides by 10. This leads us to the final odds against winning the boat being 99:1.

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