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?

Question

450
2/3
600
300

Answer 1

Since the participants have an equal chance of receiving one of the three types of coupons (skiing, snow tubing, or sleigh rides), each type of coupon has a probability of 1/3.

To find the expected number of participants who receive a coupon for sleigh rides, you can use the formula:

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

Given that there are 900 participants:

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

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