ioiio wrote:

ywilfred wrote:

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%

So

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