All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Probability
Two vending machines (Posted on 2023-03-02) Difficulty: 2 of 5
There are two identical vending machines dispensing bottled drinks. The probability of all drinks sold out at the end of a day is .25 for each automat. The probably of drinks in both machines being sold out is 0.17.

What is the probability of both machine being active by the end of the day?

P@P only.

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution solution (spoiler) | Comment 1 of 2
The probability that both are active, that is, neither one is out, is 1 - (2*.25 - .17) = .67. That's because (2*.25 - .17) is the probability that one or the other or both will be out, since by inclusion/exclusion P(A or B) = P(A) + P(B) - P(A and B).
  Posted by Charlie on 2023-03-02 07:40:38
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information