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

300
300

450
450

600
600

23
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1 answer

Since each participant has an equal chance of receiving one of the three types of coupons (skiing, snow tubing, or sleigh rides), the probability of each participant receiving a coupon for sleigh rides is \( \frac{1}{3} \).

To find the expected number of participants who receive a coupon for sleigh rides out of 900 people, you can multiply the total number of participants by the probability of receiving a sleigh ride coupon:

\[ \text{Expected number of sleigh ride coupons} = 900 \times \frac{1}{3} = 300 \]

Thus, the expected number of people who would receive a coupon for sleigh rides is 300.