# A fitness center runs a contest for customers who enroll in its annual membership plan. The customers are allowed to draw a coupon from a jar that contains 20 coupons for 1 month of extended membership, 10 coupons for 1.5 months of extended membership, and 5 coupons for 2 months of extended membership. Assuming a month has 30 days, if the expected value of extended membership (in days) on the first draw is given by the expression A + B + C, identify the correct numerical expressions for A, B, and C.

There are 35 coupons in the jar. The probability to choose coupon for 1 month of extended membership is . The probability to choose coupon for 1.5 months of extended membership is . Answer: With probability a customer will get 30 days extended membership, with probability a customer will get 450 days extended membership, with probability a customer will get 60 days extended membership. The probability to choose coupon for 1 month of extended membership is . Together P(A)+P(B)+p(C)=1.

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