Answer:
The probability that an employee receives a code with all 5 numbers the same is
.
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](https://tex.z-dn.net/?f=10%5E5)
The required probability is:
![Probability=\frac{\text{Favorable outcomes}}{\text{Total number of outcomes}}](https://tex.z-dn.net/?f=Probability%3D%5Cfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20outcomes%7D%7D)
![Probability=\frac{10}{10^5}](https://tex.z-dn.net/?f=Probability%3D%5Cfrac%7B10%7D%7B10%5E5%7D)
![Probability=\frac{1}{10^4}](https://tex.z-dn.net/?f=Probability%3D%5Cfrac%7B1%7D%7B10%5E4%7D)
Hence, the probability that an employee receives a code with all 5 numbers the same is
.