The Belgium 20-franc coin (B20), the Italian 500-lire coin (I500), and the Hong-Kong 5-dollar coin (HK5) are appropximately the same size. Coin purse 2 (C2) contains 6 of each of these coins. Coin purse 2 (C2) contains 9 B20's, 6 I500s, and 3 HK5's. A fair four-sided die is rolled. If the outcome is 1, a coin is selected randomly from C1. If the outcome belongs to 2,3,4 a coin is selected from C2. Find

(a) The probability of selecting a Belgium coin (Pr(B20))

(b) The probability that the coin was selected from C1, given that it was a Belgium coin

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.