Question
Question
As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. Participants have an equal chance of receiving each type of coupon. If 900 people participate, how many would be expected to receive a coupon for sleigh rides?(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
600
600
450
450
300
As part of a promotion, people who participate in a survey are sent a free coupon for one of three winter activities: skiing, snow tubing, or sleigh rides. Participants have an equal chance of receiving each type of coupon. If 900 people participate, how many would be expected to receive a coupon for sleigh rides?(1 point)
Responses
2/3
Start Fraction 2 over 3 End Fraction
600
600
450
450
300
Answers
GPT-4o mini
Since there are three types of coupons and each one has an equal chance of being received, the probability of any participant receiving a coupon for sleigh rides is:
\[
\text{Probability of sleigh rides} = \frac{1}{3}
\]
If 900 people participate in the survey, the expected number of participants who would receive a coupon for sleigh rides can be calculated as follows:
\[
\text{Expected number of sleigh ride coupons} = \text{Total participants} \times \text{Probability of sleigh rides} = 900 \times \frac{1}{3}
\]
Calculating this gives:
\[
900 \times \frac{1}{3} = 300
\]
Thus, the expected number of participants who would receive a coupon for sleigh rides is **300**.
\[
\text{Probability of sleigh rides} = \frac{1}{3}
\]
If 900 people participate in the survey, the expected number of participants who would receive a coupon for sleigh rides can be calculated as follows:
\[
\text{Expected number of sleigh ride coupons} = \text{Total participants} \times \text{Probability of sleigh rides} = 900 \times \frac{1}{3}
\]
Calculating this gives:
\[
900 \times \frac{1}{3} = 300
\]
Thus, the expected number of participants who would receive a coupon for sleigh rides is **300**.