In a certain lottery, six numbers are randomly chosen from the set {0, 1, 2 49} (without

Question:

In a certain lottery, six numbers are randomly chosen from the set {0, 1, 2… 49} (without replacement). To win the lottery, a player must guess correctly all six numbers but it is not necessary to specify in which order the numbers are selected.
(a) What is the probability of winning the lottery with only one ticket?
(b) Suppose in a given week, 6 million lottery tickets are sold. Suppose further that each player is equally likely to choose any of the possible number combinations and does so independent of the selections of all other players. What is the probability that exactly four players correctly select the winning combination?
(c) Again assuming 6 million tickets sold, what is the most probable number of winning tickets?
(d) Repeat parts (b) and (c) using the Poisson approximation to the binomial probability Is the Poisson an accurate approximation in this example?
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...