Thursday

November 27, 2014

November 27, 2014

Posted by **mathfailure** on Tuesday, November 20, 2012 at 11:23am.

If there are 3 choices, and 3 people can choose any of them, what are the odds of the 3 people choosing all different choices?

- probability -
**PsyDAG**, Tuesday, November 20, 2012 at 11:26amEach person has a 1/3 probability of making the choice from 3.

The probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

- probability -
**mathfailure**, Tuesday, November 20, 2012 at 11:27amso is it 1/27?

- probability -
**Count Iblis**, Tuesday, November 20, 2012 at 11:40amThere are 3! = 6 ways to assign the possible choices that are all different to the persons. The total number of choices, irrespective if they are all different or not, is 3^3 = 27.

The persons are randomly sampling from the set of 27 total choices, the probability that such a choice belongs to the subset of 6 that are all different is thus 6/27 = 2/9.

- probability -
**mathfailure**, Tuesday, November 20, 2012 at 11:46amwhat if this is a game, and we play like 4 rounds? Would it be 2/9 ^4?

- probability -
**Damon**, Tuesday, November 20, 2012 at 12:08pmEach game is independent so yes.

**Answer this Question**

**Related Questions**

PROBABILITY QUESTION PLEASE HELP!! - Three people play a game of "nonconformity...

math but also probability - Three people play a game of "nonconformity": They ...

Math - If I have 4 people and I want to take a picture of them standing side by ...

Maths - - In a normal pack of cards, write down the odds against picking each ...

Statistics - Over time, a student analyzes her ability to guess correctly after ...

algebra - find the theoretical probability of each outcome. 1. randomly choosing...

Stats - 3. Suppose you work for the Ford Motor Company and must establish ...

12 math - there are 8 opposite sex married couples at a party. two people are ...

Statistics and Probability - A survey shows that 25% of people listen to the ...

math - At the first tri-city meeting there are 8 people from town A, 7 people ...