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Question
the winner of a raffle will receive a 21 - foot outboard boat. if 1000 raffle tickets were sold and you purchased 30 tickets, what are the odds against your winning the boat? the odds against winning the boat are (simplify your answers.)
Step1: Calculate number of non - winning tickets
The total number of tickets sold is 1000 and the number of tickets you purchased is 30. So the number of non - winning tickets is $1000 - 30=970$.
Step2: Determine the odds against winning
The odds against winning is the ratio of the number of non - winning tickets to the number of winning tickets (your tickets). So the odds against winning is $\frac{970}{30}=\frac{97}{3}$.
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$97:3$