In 2002, Valerie Wilson won S1 million in a scratch-off game (Cool Million) from

Question

In 2002, Valerie Wilson won S1 million in a scratch-off game (Cool Million) from the New ttery. Four years later, she won S1 million in another scratch-off game ($3,000,000 ork lo , becoming the first person in New York state lottery history to win $1 million or more in a scratch-off game twice. In the first game, she beat odds of 1 in 5.2 million to win. In the second, she beat odds of 1 in 705,600. What is the probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game? a. What is the probability that an individual would win $1 million twice in the $3,000,000 Jubilee scratch-off game? b.

Explanation / Answer

(a) P(win in first game)=1/(5.2*1000000)

P(win in second game)=1/(705600)

required probability=1/(5.2*1000000)*1/(705600)=2.73*10-13=2.72E-13

(b)(P(win in second game)=1/(705600)

required probability of winning twice =1/(705600)*1/(705600)=2E-12=2*10-12

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