Probability of numbers in a bag.

broccoli12345

New member
Joined
Jun 6, 2019
Messages
1
I have 3 bags which contain the numbers 1-5 inclusive. I draw 2 numbers from each bag. What is the probability that the sum of all numbers draw out is greater than 26? The 1st number drawn from each bag is NOT returned to its respective bag before the 2nd one is drawn.


So far, I can determine the total number of combinations to be nCr(5,2) * nCr(5,2) * nCr(5,2) = 1000 but I do not know how to work out how many will sum greater than 26. It's worth noting the number in each bag go alot higher in my actual scenario, so just working out all possibilities and their sums isn't feasible.
 
Top