I’m too lazy to Google this.

If I throw a pair of six-sided dice once, how many ways can I get an even number, and how many ways can I get an odd one?

First correct response with an explanation gets 1BP. Copy-paste is fine, like I said, I’m lazy.

Also, petition to create a “Small Give” epeen for contests with a prize < 15 but still of value.

2 – 1/36 possible outcomes (1 & 1)

3 – 2/36 possible outcomes (1 & 2, 2 & 1)

4 – 3/36 possible outcomes (1 & 3, 3 & 1, 2 & 2)

5 – 4/36 (1 & 4, 4 & 1, 2 & 3, 3 & 2)

6 – 5/36 (1 & 5, 5 & 1, 2 & 4, 4 & 2, 3 & 3)

7 – 6/36 (1 & 6, 6 & 1, 2 & 5, 5 & 2, 3 & 4, 4 & 3)

8 – 5/36 (2 & 6, 6 & 2, 3 & 5, 5 & 3, 4 & 4)

9 – 4/46 (3 & 6, 6 & 3, 4 & 5, 5 & 4)

10 – 3/36 (4 & 6, 6 & 4, 5 & 5)

11 – 2/36 (5 & 6, 6 & 5)

12 – 1/36 (6 & 6)

That’s 18/36 for even, and 18/36 for odds, so it’s a more complicated coin flip, basically.

Skyman747 Posted:

I literally am just writing this down off the top of my head and put no thought into it, but 12/21 chance of getting even and 9/21 chance of getting odd?

1+1=2

1+2=3

1+3=4

1+4=5

1+5=6

1+6=7

2+2=4

2+3=5

2+4=6

2+5=7

2+6=8

3+3=6

3+4=7

3+5=8

3+6=9

4+4=8

4+5=9

4+6=10

5+5=10

5+6=11

6+6=12

even though you did “1+2”, “2+1” is still a valid unique outcome. Try again, or just read the posts that beat you.

what does craps have to do w/ anything?

Rolling dice, and the odds of any given set of numbers coming up. When actually rolling dice, there is no difference between 1+2 and 2+1, they are not unique. The only possible difference, with respect to actually rolling dice, is the orientation of the person reading the dice to the dice themselves.

Adapt Posted:

unless that was part of the question. It can certainly matter what order they are in.

Roll two dice when facing another person, which order are they in? Who decides? A 2 and a 1, no matter from which side you read it, is the same result. This gives the result of 3, an odd result, only one possible combination. That of one die reading 1 and the other die reading 2. Six, an even result, can be both dice reading 3, one die reading 2 and the other die reading 4 or one die reading 1 and the other die reading 5. While the percent chance to see an even or an odd number remains constant, there are not the same number of combinations for each.

To help explain the craps reference, this is also why 7 is the crap number. It has more combinations than the other numbers.

Sorry if it’s not clear enough.

I’m basically trying to determine if someone can use a roll of two dice to determine fairly between outcomes, by bumigning the result of odd to one choice, and even to another choice. Or, if by saying “odds I choose A, evens I choose B” favors A or B.

Sneaky27 Posted:

Roll two dice when facing another person, which order are they in? Who decides? A 2 and a 1, no matter from which side you read it, is the same result. This gives the result of 3, an odd result, only one possible combination. That of one die reading 1 and the other die reading 2. Six, an even result, can be both dice reading 3, one die reading 2 and the other die reading 4 or one die reading 1 and the other die reading 5. While the percent chance to see an even or an odd number remains constant, there are not the same number of combinations for each.

To help explain the craps reference, this is also why 7 is the crap number. It has more combinations than the other numbers.

what if you wanted to know the probability of rolling a 2 followed by a 1?

Log in to see images!

Fie Posted:

Log in to see images!

Whoa.