perplexus.info :: Probability : All the colors in

All the colors in (Posted on 2010-04-26)

Seven sportsmen (named A,B,C,D,E,F and G) buy 7 hats choosing randomly out of 4 available colors (say G,R,W and Y).
What is the probability that all the colors were chosen?

See The Solution Submitted by Ady TZIDON

Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Solution (using Excel)

| Comment 18 of 22 |

There are 4^7 combinations (16384). Of these, there are 8400 combinations which contain all four colors. This yields a probability of 51.2695 %.

Posted by hoodat on 2010-05-03 02:03:31

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
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:


perplexus dot info