# Probability problem

• Apr 28th 2006, 02:09 PM
avinash
Probability problem
I am forwarding my problem first time.
I need your help to solve one question on Probability.

Question: When 4 dice are thrown (each numbered from 1 to 6), calculate the probability that all the numbers facing up are different.
The answer given is 0.2778.I need help to solve this question.

Avinash
• Apr 29th 2006, 09:24 AM
CaptainBlack
Quote:

Originally Posted by avinash
I am forwarding my problem first time.
I need your help to solve one question on Probability.

Question: When 4 dice are thrown (each numbered from 1 to 6), calculate the probability that all the numbers facing up are different.
The answer given is 0.2778.I need help to solve this question.

Avinash

Suppose that the dice are throw in order. There are $\displaystyle 6^4$ different results.

Of these results, the favourable ones number the number of ways of choosing
4 items from a set of 6 distinct items of $\displaystyle 6.5.4.3$.

Now the probability is the ratio of favourable outcomes to total number of
possible outcomes, so:

$\displaystyle p=\frac{6.5.4.3}{6^4}\approx 0.2778$

RonL
• Apr 29th 2006, 11:25 AM
avinash
Many thanks