- #1
DottZakapa
- 239
- 17
- Homework Statement
- Eight friends check in together at the reception of an hotel. There are 4 double rooms available, one at the 1st, one at the 2nd, one at the 3rd and one at the 7th floor.
If any possible assignment is equally likely, which is the probability that Alfred and John share the room at the 7th floor?
- Relevant Equations
- probability
My reasoning is :
first i evaluate in how many manners i can choose 2 guys from the group of 8.
##\binom{8}{2} \binom{6}{2} \binom{4}{2}\binom{2}{2}##
then i consider the probability of choosing the seventh floor is 1/4.
But now I don't now how to proceed, supposing up to here i am correct. any help?
first i evaluate in how many manners i can choose 2 guys from the group of 8.
##\binom{8}{2} \binom{6}{2} \binom{4}{2}\binom{2}{2}##
then i consider the probability of choosing the seventh floor is 1/4.
But now I don't now how to proceed, supposing up to here i am correct. any help?