What is the probability q that a random ticket will be a win

Assignment Help Basic Computer Science

Reference no: EM131081891

If there is no winner for the lottery described in Problem 2.7.8, then the pot is carried over to the next week. Suppose that in a given week, an r dollar pot is carried over from the previous week and 2n tickets sold. Answer the following questions.

(a) What is the probability q that a random ticket will be a winner?

(b) If you own one of the 2n tickets sold, what is the mean of V, the value (i.e., the amount you win) of that ticket? Is it ever possible that E[V] > 1?

(c) Suppose that in the instant before the ticket sales are stopped, you are given the opportunity to buy one of each possible ticket. For what values (if any) of n and r should you do it?

Problem 2.7.8

In the New Jersey state lottery, each $1 ticket has six randomly marked numbers out of 1,..., 46. A ticket is a winner if the six marked numbers match six numbers drawn at random at the end of a week. For each ticket sold, 50 cents is added to the pot for the winners. If there are k winning tickets, the pot is divided equally among the k winners. Suppose you bought a winning ticket in a week in which 2n tickets are sold and the pot is n dollars.

(a) What is the probability q that a random ticket will be a winner?

(b) What is the PMF of Kn, the number of other (besides your own) winning tickets?

Reference no: EM131081891

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