Question

riverton high school is holding a raffle for silver rush. any student may participate by buying a single ticket, and winners are chosen randomly from among those who bought a ticket. the participants in the raffle are grouped according to the table below. what are the odds (in the category : not in the category) that the first student selected for a prize is a sophomore boy? student category percentage of tickets purchased sophomore girls 14% junior girls 18% senior girls 20% sophomore boys 10% junior boys 30% senior boys 8% 07:43 01:4 01:10 07:50 01:9

Explanation:

Step1: Find the percentage of non - sophomore boys

The sum of all percentages is 100%. The percentage of sophomore boys is 10%. So the percentage of non - sophomore boys is $100 - 10=90\%$.

Step2: Calculate the odds

The odds of an event is the ratio of the probability of the event occurring to the probability of the event not occurring. The probability of a sophomore boy is 10% or 0.1, and the probability of not a sophomore boy is 90% or 0.9. The odds of a sophomore boy is $\frac{0.1}{0.9}=\frac{1}{9}$, which is 1:9.

Answer:

1:9