In a lottery, you select 5 numbers from 1-50, 5 numbers are drawn by the lottery, if they match all the 5 numbers you selected, you win the Jackpot. Each lottery is independent. Each time you play you need to pay $1. a) You play this lottery every day for three 365-day years. The probability that you win the Jackpot twice is : b)There are 10 million people playing this lottery like you do ( once a day for three 365-day years), the probability at least one person win the Jackpot twice is: c)In order to be at least 1.0% sure that you can win the Jackpot at least once, what is the minimum number of year you need to play if you play once a day? (Put down an integer) d)Assume there is no other prize except the Jackpot. If you are risk neutral, you will not play the lottery if the Jackpot prize is below