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

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Reference no: EM131081888

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: EM131081888

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