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Please help to solve question 1 and subsections 1-4 1: Powerball Consider the multi-state lottery Powerball...

Please help to solve question 1 and subsections 1-4

1: Powerball

Consider the multi-state lottery Powerball game. Each ticket is $2 and allows a player to select 5 white

balls from 1 to 69 (without replacement), and 1 Red Powerball, from 1 to 26. The order of the five white

balls does not matter when evaluating a win.

  1. If there are 64 losing whiteball numbers, how many ways can the winner pick 4 of them.

  1. If the player is only interested in getting 1 white ball correct and the powerball, which has a payout of $4, what’s the expected value of the game?

  1. If there are 5 winning white balls, how many ways can the user pick 2 of them?

  1. If there are 64 losing white balls, how many ways can the player pick 3 of them? The product of this and question 8 gives the number of possible ways of picking exactly 2 correct white balls.
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