# Probably of numbers in a bag

Probability theory and statistics

### Probably of numbers in a bag

I have 3 bags, all which contains the numbers 1-5 inclusive.
What is the probability that, after choosing 2 numbers from each bag, the sum of all numbers is more than 26? The first number is NOT returned to it's respective bag before the 2nd number is drawn.

I can work out the total number of combinations by doing 3 * nCr(5,2) which equals 30 possible combinations, but I want to know how many of those combinations sums is above 26.
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### Re: Probably of numbers in a bag

**CORRECTION: total combinations is actually $${5 \choose 2}$$ * $${5 \choose 2}$$ * $${5 \choose 2}$$ = 1000
Also worth nothing the size of numbers im dealing with goes into the 100s, so just working out all possible combinations is not feasible.
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