If the sub-committee already has michael on board, then the remaining two seats can be filled in 5C2 ways = 10
If the sub-committee has both michael and anthony, then the remaining seat can be filled 4 ways.
P = 4/10 = 2/5 = 40%
But Isnt the question a little different?
I would think they are asking for No. of Teams comprising both/ no. of Teams comprising one alone
If correct, please help me find both these terms? If I am missing something, please let me know.
The question says 'what percent of all the possible subcommittees that include Michael also include Anthony? '
So it is looking for this percentage:
(All groupings that include Michael and Anthony)/(All groupings that include Michael) * 100%
All groupings that include Michael and Anthony -> you have to assume michael and anthony are already in the team, then the last seat can be just any one of the 4 remaining people
All groupings that include Michael -> you have to assume michale is already in the team, and the remaining two places can be filled by any 2 of the remaining 5 people, thus 5C2