Question

A 5-digit code is given to all cashiers at a store to let them log onto the cash register. What is the probability that an employee receives a code with all 5 numbers the same?

Answer 1

Answer:

The probability that an employee receives a code with all 5 numbers the same is $\frac{1}{10^4}$.

Step-by-step explanation:

Consider the provided information.

The numbers which we can use in code is: 0,1,2,3,4,5,6,7,8,9

That means there are 10 numbers which we can use.

The total ways of selecting a 5 digit number with all 5 numbers the same = 10.

The total ways of selecting a 5 digit number is: 10×10×10×10×10=$10^5$

The required probability is:

$Probability=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}$

$Probability=\frac{10}{10^5}$

$Probability=\frac{1}{10^4}$

Hence, the probability that an employee receives a code with all 5 numbers the same is $\frac{1}{10^4}$.