Probablity of choosing the same number

  • Context: High School 
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SUMMARY

The probability of four individuals choosing the same number from a set of four options (1 to 4) is calculated as (1/4)^4 multiplied by 4, resulting in a probability of 1/64. This formula accounts for the likelihood of each individual selecting the same number, and the multiplication by 4 represents the four possible numbers that could be chosen. The discussion confirms the correctness of this calculation, emphasizing its importance in probability theory.

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at_radio
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There's a problem... What is the probability 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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Yup. (1/4)^4 for all the same of a given number * 4 for the four numbers.
 
thanks a lot... :smile:
 

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