"3. In a state’s Pick 3 lottery game, you pay $1.34 to select a sequence of three digits (from 0 to 9), such as 900. If you select the same sequence of three digits that are drawn, you win and collect $ 279.56. a. How many different selections are possible? b. What is the probability of winning? c. If you win, what is your net profit? d. Find the expected value. e. If you bet, $1.34 in a certain state’s Pick 4 game, the expected value is -$ 1.06. Which is better, a $ 1.34 bet in the Pick 3 game or $ 1.34 bet in the Pick 4 game?"

Rolston music company is considering the sale of a new sound board used in recording studios. the new board would sell for $27,200, and the company expects to sell 1,570 per year. the company currently sells 2,070 units of its existing model per year. if the new model is introduced, sales of the existing model will fall to 1,890 units per year. the old board retails for $23,100. variable costs are 57 percent of sales, depreciation on the equipment to produce the new board will be $1,520,000 per year, and fixed costs are $1,420,000 per year. if the tax rate is 35 percent, what is the annual ocf for the project?