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

450
450

600
600

23
Start Fraction 2 over 3 End Fraction

300

1 answer

Since there are three activities (skiing, snow tubing, and sleigh rides) and each has an equal chance of being selected, each activity has a probability of 1/3.

To find the expected number of participants receiving a coupon for sleigh rides, multiply the total number of participants by the probability of receiving that coupon:

\[ \text{Expected number} = \text{Total participants} \times \text{Probability of sleigh rides} \]

\[ \text{Expected number} = 900 \times \frac{1}{3} = 300 \]

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