Once a women won dollar 1 million in a scratch off game from a lottery. Some yea

Question

Once a women won dollar 1 million in a scratch off game from a lottery. Some years later, she won dollar 1 million in another scratch off game. In the first game, she beat odds of 1 in 4.2 million to win In the second, she beat odds of 1 in 605,600. What is the probability that an individual would win dollar 1 million in both games if they bought one scratch off ticket from each game? The probability that an individual would win dollar 1 million in both games if they bought one scratch off ticket form each game is. (Use scienitic notation. Use the multiplication symbol in the math palette as needed. Round to the near tenth as needed.)

Explanation / Answer

THE PROBABILITY OF WINNING THE LOTTERY IN 1ST SCRATCH = 1/4200000 = 0.0000003

THE PROBABILITY OF WINNING THE LOTTERY 2ND TIME = 1/605600 = 0.000001

A) THE PROBABILITY OF WINNING BOTH THE LOTTERY = P(A)*P(B) = 0.0000003*0.000001 = 0.3*10^(-12)

B) THE PROBABILITY OF WINNING THE 2ND LOTTERY 2 TIMES = P(B)^2 = (0.000001)^2 = 0.1*10^(-11)

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