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)

Question

Responses

300
300

600
600

450
450

2/3

Answer 1

Since each of the three activities (skiing, snow tubing, and sleigh rides) has an equal chance of being chosen, the probability of getting a coupon for sleigh rides is \( \frac{1}{3} \).

If 900 people participate in the survey, the expected number of people who would receive a coupon for sleigh rides can be calculated as follows:

\[ \text{Expected number} = \text{Total participants} \times \text{Probability of sleigh rides} \] \[ \text{Expected number} = 900 \times \frac{1}{3} = 300 \]

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