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

2/3
Start Fraction 2 over 3 End Fraction

600
600

300
300

450

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1 answer

Since there are three types of coupons (skiing, snow tubing, and sleigh rides) and each participant has an equal chance of receiving any 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, we can multiply the total number of participants by the probability of receiving that coupon:

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

\[ = 900 \times \frac{1}{3} \]

\[ = 300 \]

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