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 23 Start Fraction 2 over 3 End Fraction 600 600 450 450 300

1 answer

To find out how many people would be expected to receive a coupon for sleigh rides, we can use the concept of expected value. Since there are three equally likely outcomes (skiing, snow tubing, or sleigh rides), the probability of receiving any one type of coupon is:

\[ P(\text{sleigh rides}) = \frac{1}{3} \]

If 900 people participate, we can calculate the expected number of people receiving a coupon for sleigh rides as follows:

\[ \text{Expected number for sleigh rides} = \text{Total participants} \times P(\text{sleigh rides}) \] \[ = 900 \times \frac{1}{3} = 300 \]

Thus, we would expect 300 people to receive a coupon for sleigh rides.