# Thread: Binomial distribution problem (I think)

1. ## Binomial distribution problem (I think)

The question:

Two fair dice are thrown.

a) What is the probability that the sum of the two numbers obtained is 6?
b) What is the probability that both dice show the same number?
c) What is the probability that at least one of the dice shows an even number?

I'm not sure how to calculate these. Perhaps I'm getting confused about which distribution method to use. Any assistance would be great.

2. Here is the outcome space. Now just count.
$\displaystyle (1,1)(1,2)(1,3)(1,4)(1,5)(1,6)$
$\displaystyle (2,1)(2,2)(2,3)(2,4)(2,5)(3,6)$
$\displaystyle (3,1)(3,2)(3,3)(3,4)(3,5)(3,6)$
$\displaystyle (4,1)(4,2)(4,3)(4,4)(4,5)(4,6)$
$\displaystyle (5,1)(5,2)(5,3)(5,4)(5,5)(5,6)$
$\displaystyle (6,1)(6,2)(6,3)(6,4)(6,5)(6,6)$

3. I thought there'd be a 'better' way to do it than just writing out every combination. Thanks.

4. Originally Posted by Glitch
I thought there'd be a 'better' way to do it than just writing out every combination. Thanks.