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

600
600

300
300

450
450

2/3

1 answer

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

To find the expected number of participants who would receive a coupon for sleigh rides, you multiply the total number of participants by the probability of receiving that 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.