Including Cara and Dan, there are five members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan? Choose the most appropriate option.
A) 2/3  B) 1/2  C) 1/3  D) 2/4  E) 2/5
The number of possible subcommittees with Cara is 4C2=6.   The number of possible subcommittees with Cara and Dan is 3C1=3.   The fraction of Cara's subcommittees which include Dan is 3/6=1/2.   The answer is 1/2.
<result>B</result>
Including Cara and Dan, there are five members on the board of directors for a company. If the board is to be split up into a three-person subcommittee, what fraction of all the possible subcommittees that include Cara, also include Dan?