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Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later,...

Once a woman won​ $1 million in a​ scratch-off game from a lottery. Some years​ later, she won​ $1 million in another​ scratch-off game. In the first​ game, she beat odds of 1 in 6.2 million to win. In the​ second, she beat odds of 1 in 505 comma 600. ​(a) What is the probability that an individual would win​ $1 million in both games if they bought one​ scratch-off ticket from each​ game? ​(b) What is the probability that an individual would win​ $1 million twice in the second​ scratch-off game?

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Answer #1

​(a) What is the probability that an individual would win​ $1 million in both games if they bought one​ scratch-off ticket from each​ game? ​

The probability is (1/6,200,000)*(1/505600) = 3.2 x 10^-13

​(b) What is the probability that an individual would win​ $1 million twice in the second​ scratch-off game

The probability is (1/505600)*(1/505600) = 3.9 x 10^-12

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