A convenience store receives a shipment of 2115 scratch-and-win lottery tickets.

Question

A convenience store receives a shipment of 2115 scratch-and-win lottery tickets. It is known that 11 of these 2115 tickets are “winners”; the person who buys such a ticket receives a monetary prize. Suppose you purchase a set of 22 tickets (and can assume this to be a Simple Random Sample from the tickets in the shipment).

A.What is the probability that none of your tickets is a winner?

B.What is the probability that at least one your tickets is a winner?

C.What is the probability that more than one of your tickets is a winner?

Explanation / Answer

p=11/2115=0.0052 and n=22

Using uniform distribution in excel.

A. P(x=0)= BINOM.DIST(0,22,0.0052,FALSE) =0.8916

B. P(x>=1)=1-P(x=0)=1-0.8916 =0.1084

C. P(x>1)=1-P(x<=1)=1-BINOM.DIST(1,22,0.0052,TRUE)=0.00583

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