# math

posted by juan777

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

1. Reiny

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

2. casd

brah that worng

3. bob

help me pls

## Similar Questions

1. ### Math - Statistics

I roll 12 4-sided dice. What is the probability that I roll at least one 2?
2. ### MATH Prob.

A 6-sided die is rolled. The sides contain the numbers 1,2,3,4,5,6. List the sample space of rolling one die.
3. ### math

A 6-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6. List the sample space of rolling one die. 9) _______ A) {6} B) {36} C) {1, 2, 3, 4, 5, 6} D) None of these
4. ### Math(Probability)

Let X and Y equal the outcomes when two fair six-sided dice are rolled. Let W = X + Y. Assuming independence, find the p.m.f. of W when (a) The first die has three faces numbered 0 and three faces numbered 2, and the second die has …
5. ### math

A six-sided die (with numbers 1 through 6) and an eight-sided die (with numbers 1 through 8) are rolled. What is the probability that there is exactly one 6 showing?
6. ### Probability

The newest invention of the 6.041x staff is a three-sided die. On any roll of this die, the result is 1 with probability 1/2, 2 with probability 1/4, and 3 with probability 1/4. Consider a sequence of six independent rolls of this …
7. ### Algebra 2

A six-sided die is rolled six times. What is the probability that the die will show an even number exactly two times?
8. ### Math - Statistics

A six-sided die is rolled 36 times. What is the probability that an odd number is rolled at most 15 times?
9. ### Prealgebra/probability

A coin is tossed three times. Use a tree diagram to find the number of possible outcomes that could produce exactly two heads. I don't know how to write out a tree diagram on here, but I think this one is heads -> heads, tails -> …
10. ### Math

A fair eight-sided die is rolled six times. A success is getting a 6, 7 and 8. Find the probability of getting three successes.

More Similar Questions