You roll 2 dice. What is the probability that the sum of the dice is even and 1 die shows a 4? A 6 X 6 table of dice outcomes will help you to answer this question

Question

directrix · Answer

attachment

directrix · Answer

@bekkah323  Look at the chart. The even sums form a pattern on the chart. Do you see where to find them?

bekkah323 · Answer

yes

bekkah323 · Answer

There are 18 with even sums

directrix · Answer

I think I've marked the column and row where the fours are. Now, look for even sums.

bekkah323 · Answer

there are 5

directrix · Answer

@bekkah323   So, how many throws have a "4" and also an even sum?

directrix · Answer

@bekkah323  I'm thinking 11. 
Look at the attachment below.

directrix · Answer

Scratch that. I counted those with a "4" and odd sums as well. Let me try again.

bekkah323 · Answer

is it 5?

directrix · Answer

Yes, five. I have marked them on the upload.

directrix · Answer

There are 36 outcomes of tossing a pair of dice. That comes from 6 outcomes for the first die and 6 outcomes for the second die. By the Multiplication Principle of Counting, there are 6 * 6 = 36 possibilities. I am not saying 36 different sums but 36 outcomes of tossing the dice. (6,2) is a different outcome from (2,6).

So, P(even sum AND a "4") = 5/36