Question

Katrina rolls a pair of six-sided number cubes with numbers 1 to 6.

What is the probability that the sum of the numbers rolled is either an even number or a multiple of 3?

Answer 1

@Hero

Answer 2

i'm getting vibes that its 1/2, but realized that i also need the multiples of 3, so 3 + 2 is 5/6 and reduced is 3/2, which we should put it at 2/3. that right? @Hero

Answer 3

There is a correct approach to this. What I'm curious to know is, are you aware of what that approach is and can you explain the steps of how to properly set up and solve this.

Answer 4

well its a six-die so the denominator currently is 6 so it wants an even or a multiple of 3, theres 3 even numbers and 2 multiples, counting six itself so thats 5 5/6

Answer 5

if we dont count six, then 4/6 which is still 2/3

Answer 6

The first step is to figure out the total possible outcomes. In other words how many total rolled-dice sums are possible?

Answer 7

6

Answer 8

there are six outcomes, which is all the numbers it can be

Answer 9

Actually, you have to count pairs of numbers. For example, You could roll two 1's, two 2's, two 3's, two 4's, two 5's and two 6's. That's six outcomes right there but that obviously isn't the total number of outcomes, because you can also roll a 2 and a 4 which would make it 7 outcomes we've listed so far.

Answer 10

wait, a pair? i thought it was one die

Answer 11

Katrina rolls a pair ....

Answer 12

shut up i didnt see that!

Answer 13

...

Answer 14

so we have about 12 outcomes

Answer 15

which is 10 / 12 now

Answer 16

5/6 is half of it

Answer 17

...

Answer 18

still seems like its 2/3....

Answer 19

There's more than 12 outcomes

Answer 20

then im stumped

Answer 21

There's 36 outcomes actually. I'm not going to list them all. But it goes something like
(1,1), (1,2), (1,3), (1,4),(1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
...
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Answer 22

18 even numbers

Answer 23

plus 12 multiples of 3

Answer 24

very good

Answer 25

18 + 12 30

Answer 26

30/36

Answer 27

Good, now reduce that fraction.

Answer 28

5/6

Answer 29

Correct