Web Analytics
Answered

A vending 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.

Verified Answer :

Each employee has 8 choices of drink, 
so total # of ways they can choose = 8^6 

ways in which all take different drinks = 8P6 = 876..3 
so ways in which at least 2 take the same drink = 8^6 - 8P6 

probability = (8^6 - 8P6) /8^6 
= .9231 

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

thaovtp1407

Answer:

0.923

Step-by-step explanation:

Given:

  • 8 different drinks and 6 employees

=> the total possible outcomes: \(8^{6}\)

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: 876543

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

= number favorable outcomes / the total possible outcomes

= 876543  / \(8^{6}\)  

= 0.77

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

Related Questions