An MBA admissions committee is to be formed randomly from 6 second year MBAs for the 3 positions. If Albert and Jane are applicants, what is the probability that Albert will be selected but Jane will not?
Choose the most appropriate option.
A) 10% B) 17% C) 25% D) 30% E) 44%
Probability of selecting Albert but not Jane =   Prob(A,J',J')   = 3* 1/6 * 4/5 * 3/4 (J' is Jane is not selected and we multiply by 3 because A , J' and J' can occur in 3 distinct ways)   = 3/10   =30%   Answer 30%
<result>D</result>
An MBA admissions committee is to be formed randomly from 6 second year MBAs for the 3 positions. If Albert and Jane are applicants, what is the probability that Albert will be selected but Jane will not?