A fraternity is running a lottery in which players submit 3 digit numbers to win

Question

A fraternity is running a lottery in which players submit 3 digit numbers to win. To determine the lottery winner, the fraternity uses a bowl with 10 sheets of paper. Each sheet of paper is labeled with 1,2,3...9, or 10. To determine the winner, the fraternity president draws three sheets of paper out of the bowl and records the numbers in order. After the first sheet is drawn, that number is replaced. After the second sheet is drawn, that number is also replaced. you have played the lottery with the number 6-4-9. what is the probability that your number will be select? Show all your work. Identify the rule of probability theory used to reach your answer.

Explanation / Answer

Toatl number of outcomes = 10

The probablity of selecting number 6 in the first try = Favourable outcome/ total number of outcome = 1/10 = 0.1

The probablity of selecting number 4 in the first try = Favourable outcome/ total number of outcome = 1/10 = 0.1

The probablity of selecting number 9 in the first try = Favourable outcome/ total number of outcome = 1/10 = 0.1

Toatal prob is 0.1*0.1*0.1 = 0.001

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