Question

the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning the boat?

the odds against winning the boat are \\(\square:\square\\). (simplify your answers.)

Explanation:

Step1: Calculate the number of losing tickets

The total number of tickets is \(n = 2000\), and the number of tickets you bought is \(m=50\). The number of losing tickets is \(2000 - 50=1950\).

Step2: Find the odds - against ratio

The odds against an event \(E\) (winning in this case) is given by the ratio of the number of unfavorable outcomes to the number of favorable outcomes. The number of unfavorable outcomes (losing) is \(1950\) and the number of favorable outcomes (winning) is \(50\). The ratio \(1950:50\) can be simplified by dividing both numbers by \(50\). \(\frac{1950}{50}:\frac{50}{50}=39:1\)

Answer:

\(39:1\)