1. What is the probability of winning the lottery by selecting the correct six numbers where the order in which the numbers are selected does not matter from the positive numbers not exceeding 40?

2. As of this writing , the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 68 and in a separate drawing you must select the correct single number between 1 and 25. Find the probability of winning the jackpot.

3.Does P(x)=x/8(where x can be 0,1,2,3,) determine a probability distribution?