Turn over the first 3 cards of a well-shuffled deck of 52 cards. Use part (a) to compute the probability that the cards you turn over are a red card, followed by a red card, followed by a black card. Hint: Let A1 be the event the first card is red, A2 the event the second card is red, A3 the third card is black. (c) Compute probability the first 4 cards you turn over alternate as red, black, red, black.

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.