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

300
300

450
450

23
Start Fraction 2 over 3 End Fraction

600

1 answer

Since 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 \( \frac{1}{3} \).

To find the expected number of participants who would receive a coupon for sleigh rides, you can multiply the total number of participants (900) by the probability of receiving a sleigh ride coupon:

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

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