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A club sells 16 tickets to a raffle. Taylor bought one ticket. The probability that Taylor will win the raffle is 6.25%. What is the total number of possible outcomes in the raffle?

a) 1

b) 16

c) 64

d) 4

User Joe Mills
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1 Answer

2 votes

Final answer:

The total number of possible outcomes in the raffle is 16, as the probability of Taylor winning with one ticket is 6.25%, which corresponds to a 1 in 16 chance of winning.

So option (B) is the correct answer.

Step-by-step explanation:

The question asks about the probability that Taylor will win the raffle, which is given as 6.25%. Since Taylor bought one ticket, the probability that Taylor would win equals the ratio of the number of tickets Taylor holds to the total number of tickets. We can calculate the total number of possible outcomes (which is also the total number of tickets sold) by using the formula for probability: Probability (P) = number of successful outcomes / total number of possible outcomes. With Taylor's probability of winning being 6.25%, we can express this as a decimal of 0.0625 because 6.25% = 6.25/100 = 0.0625. Hence, if we let n be the total number of tickets (possible outcomes), we have 1/n = 0.0625. Solving for n, we get n = 1/0.0625 = 16. Therefore, the total number of possible outcomes in the raffle is 16, which corresponds to option b).

User Milos Fec
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