Probability Discrete Math. {1,2,3,4,5,6,7,8,9} What is the probability that the sum of any of these three numbers is odd?

Matias Aguirre 2022-07-16 Answered
Probability Discrete Math
{1,2,3,4,5,6,7,8,9} What is the probability that the sum of any of these three numbers is odd?
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Answers (1)

Abbigail Vaughn
Answered 2022-07-17 Author has 15 answers
Step 1
Three numbers can be choosen out of 9 in ( 9 3 ) possible ways.
Step 2
The sum will be odd if the three numbers are choosen either from {1,3,5,7,9} which can be done in ( 5 3 ) ways or one number is choosen from {1,3,5,7,9} - ( 5 1 ) ways and 2 numbers are choosen from {2,4,6,8} which can be done in ( 4 2 ) ways. So the cases when the sum is odd are ( 5 3 ) + ( 5 1 ) × ( 4 2 ) .

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