Each person that works at a company is given a 5-digit code. These employees must enter their codes on a keypad to enter and exit the office building. The company has 80 employees.

a) How many codes are possible if there are no restrictions?

b) What is the probability of someone entering a 5-digit code at random and gaining entry?

Question

Mathematics

Kendra Paul

13 January, 02:09

Each person that works at a company is given a 5-digit code. These employees must enter their codes on a keypad to enter and exit the office building. The company has 80 employees.

a) How many codes are possible if there are no restrictions?

b) What is the probability of someone entering a 5-digit code at random and gaining entry?

+3

Answers (1)

Know the Answer?

Jared Luna · Answer 1

A) 100000

B) 80/100000

Step-by-step explanation:

A) it is a simple matter of multiplying the possibilities of the digit it could be to the second one then to the third and so on and so forth

B) if a person were to enter a 5 digit code at random say it be 00000 then that person would have 80 out of a 100000 chance of unlocking the door as there are only 80 access codes that are correct