Thursday

March 26, 2015

March 26, 2015

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

(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 11:11amFor 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 11:21amMake 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 9:05pmjijlmkjiojkl

**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 ...

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 ...

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 ...

Stats - Two dice are tossed. What is the probability that the sum of both dice ...

Math - Make a table to display your answer. When a coin is tossed four times, ...