Posted by **juan777** on Monday, January 23, 2012 at 12:31am.

A six sided die is rolled three times. List possible outcomes and find the probability of rolling exactly one 6.

- math -
**Reiny**, Monday, January 23, 2012 at 8:52am
Are you sure that they want you to "list" all the outcomes?

There are 216 of them. (6x6x6=216)

If you have to list them, do it systematically, e.g.

1 1 6

1 1 5

...

1 1 1

1 2 6

1 2 5

....

1 2 1

1 3 6

.....

....

1 6 1

...

2 1 6

2 1 5

etc

To have only one 6, it must look like this

6 x y, x 6 y, x y 6, where the x and y are NOT 6

number of those = 3x5x5 = 75

prob (exactly one 6) = 75/216 = 25/72

## Answer This Question

## Related Questions

- Algebra 2 - A six-sided die is rolled six times. What is the probability that ...
- Math - Statistics - A six-sided die is rolled 36 times. What is the probability ...
- math - A six-sided die (with numbers 1 through 6) and an eight-sided die (with ...
- Probability - The newest invention of the 6.041x staff is a three-sided die. On...
- Math - Statistics - I roll 12 4-sided dice. What is the probability that I roll ...
- Math(Probability) - Let X and Y equal the outcomes when two fair six-sided dice...
- MATH Prob. - A 6-sided die is rolled. The sides contain the numbers 1,2,3,4,5,6...
- math - A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. ...
- Probability - The newest invention is a three-sided die. On any roll of this die...
- Alg2/trig - Hi, I hope you guys don't mind if I post a couple probability ...

More Related Questions