New Jersey has a six-way combination lottery game in which you pick three digits (each can be

Question:

New Jersey has a six-way combination lottery game in which you pick three digits (each can be any of 0, 1, 2,c, 9) and you win if the digits the lottery picks are the same as yours in any of the six possible orders. For a dollar bet, a winner receives $45.50. Two possible strategies are (a) to pick three different digits, or (b) to pick the same digit three times. Let X = winnings for a single bet.
a. Find the probability of X and its mean for strategy a.
b. Find the probability of X and its mean for strategy b.
c. Which is the better strategy? Why?
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...