Question

You roll two dice. What is the probability that the sum of the dice is even or the sum of the dice is greater than 6? Make sure you only account for dice sums that are both even and greater than 6 once. A 6X6 table of dice outcomes will help you to answer this question.
Please show me how to find the answer

Answer 1

Lets make the table 1st
11 12 13 14 15 16
21 22 23 24 25 26
31 32 33 34 35 36
41 42 43 44 45 46
51 52 53 54 55 56
61 62 63 64 65 66

Answer 2

36 possibilities when you roll 2 dice

Answer 3

oh because it's 6*6?

Answer 4

yes. now how many of these 36 possibilities are even?

Answer 5

6

Answer 6

oh no sorry

Answer 7

18?

Answer 8

oops 18 yes

Answer 9

so the answer is 18?

Answer 10

No you also have to figure out which pairs sum to greater than 6
16
25 26
34 35 36
43 44 45 46
52 53 54 55 56
61 62 63 64 65 66
All of these pairs sum to more than 6. There are 21 of these.

Answer 11

But we double counted some. Which pairs sum to both even numbers AND numbers greater than 6?

Answer 12

26
34 36
44 46
53 55
62 64 66 There are 10 of these.
Final answer
\[\frac{ 18+21-10 }{ 36 }\]

Answer 13

Simplify that fraction and you'll have your answer

Answer 14

Tough problem!

Answer 15

Thank You So Much!! I'm sure I'll be able to do the next one now!

Answer 16

Unfortunately, I noticed a small mistake I made...sorry. In counting the ones that are both even and greater than 6, I should have written 35 on that second line, not 34 and 36. So there are9 of those...not 10. Replace 10 with 9 in that final fraction.

Answer 17

yeah I noticed... I already fixed it though