Avending machine offers 8 different drinks. one day, 6 employees each purchased a drink from the vending machine. find the probability that at least 2 employees purchased the same drink. round your answer to the nearest hundredth.

0.923

Step-by-step explanation:

Given:

=> the total possible outcomes:

The probability that at least 2 employees purchased the same drink, it means that we can use: 1 - The probability that at no employees purchased the same drink.

So, number favorable outcomes at no employees purchased the same drink: 8*7*6*5*4*3

Hence, The probability that at no employees purchased the same drink:

= number favorable outcomes / the total possible outcomes

= 8*7*6*5*4*3  /  

= 0.77

=> The probability that at least 2 employees purchased the same drink: 1- 0.77 = 0.923