SOLUTION: two numbers are from 1 to 12 are chosen randomly. find the probability that both are greater than 8.

Algebra ->  Probability-and-statistics -> SOLUTION: two numbers are from 1 to 12 are chosen randomly. find the probability that both are greater than 8.      Log On


   



Question 746351: two numbers are from 1 to 12 are chosen randomly. find the probability that both are greater than 8.
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Probability = Number_of_successful_choices%2FNumber_of_possible_choices

The successful numbers are these 4: {9,10,11,12}
The possible numbers are these 12: {1,2,3,4,5,6,7,8,9,10,11,12}

The number of successful choices are "4 things choose 2", or C(4,2) = 4%2A3%2F%282%2A1%29 = 6

The number of possible choices are "12 things choose 2", or C(12,2) = 12%2A11%2F%282%2A1%29 = 66

Probability = Number_of_successful_choices%2FNumber_of_possible_choices = 6%2F66 = 1%2F11

Edwin