Probablity of choosing the same number

Thread starter at_radio
Start date May 17, 2005

AI Thread Summary

The probability of four people choosing the same number from a set of four options (1 to 4) is calculated as (1/4)^4, which equals 1/256. However, since there are four possible numbers they could all choose, the total probability becomes 4 * (1/256), resulting in 1/64. This confirms the initial calculation presented in the discussion. The importance of accurately determining this probability is emphasized. Understanding these calculations is crucial for related probability questions.

May 17, 2005

at_radio

There's a problem... What is the probabilty that 4 people would choose the same number from 1 to 4? (e.g they all choose 2)...i think it should be like (4/4*1/4*1/4*1/4=1/64) ...just want to double check cause this is an importatnt quesiton...thanks

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May 17, 2005

BicycleTree

Yup. (1/4)^4 for all the same of a given number * 4 for the four numbers.

May 17, 2005

at_radio

thanks a lot...

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