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

23
Start Fraction 2 over 3 End Fraction

450
450

600
600

300
300
Skip to navigation

1 answer

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

To find the expected number of participants receiving a coupon for sleigh rides, you can calculate it as follows:

\[ \text{Expected number of sleigh ride coupons} = \text{Total participants} \times \text{Probability of sleigh ride coupon} \]

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

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