Posted by **Jamie** on Saturday, December 5, 2009 at 4:01pm.

When two balanced dice are rolled, 36 equally likely outcomes are possible as shown below.

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

Let X denote the absolute value of the difference of the two numbers. Find the probability distribution of X. Give the probabilities as decimals rounded to three decimal places.

- Mathematics -
**MathMate**, Sunday, December 6, 2009 at 11:11am
For X=0, the two dice must roll equal values, such as (1,1),(2,2), ....

Count the number of such cases, divide it by 36 (number of possible outcomes) and assign the quotient to X(0).

Repeat the count for X(1) (i.e. difference =1, such as (3,2)...), X(2)....until X(5).

The sum of X(0)...X(5) should add up to 1.

- Mathematics -
**PsyDAG**, Sunday, December 6, 2009 at 11:21am
Make a frequency distribution for the absolute differences of the values. The absolute difference probabilities will be the number of tosses with each difference divided by 36. For example, no difference ([1,1], [2,2,] etc.) would be 6/36 = 1/6 (convert to decimal). I5I (absolute difference) would be 2/36.

I'll let you do the rest.

The probabilities should sum as 1 (within rounding error) as a check.

I hope this helps.

- Mathematics -
**Anonymous**, Monday, February 6, 2012 at 9:05pm
jijlmkjiojkl

## Answer this Question

## Related Questions

- Math - When two balanced dice are rolled, 36 equally likely outcomes are ...
- Math - Three fair dice are rolled, and all outcomes are equally likely. What is ...
- Math - Three fair dice are rolled, and all outcomes are equally likely. What is ...
- Math 115 Statistics - In the game of craps, the player rolls two balanced dice, ...
- Probability - When two fair six-sided dice are rolled, there are 36 possible ...
- math - this is real hard and i would love some help. In a game of craps, a ...
- Data management - Which of the following three events is more likely to happen ...
- precalculus - Suppose that wo dice, one red and one green are rolled. How Many ...
- Math - Suppose you play a game in which two fair standard dice are rolled. If ...
- Statistics - Two dice are tossed. What is the probability that the sum of both ...

More Related Questions