Asked by Emily
Assume that there are 17 board
members: 9 females, and 8 males including Carl. There are 4 tasks to be assigned.
What is the probability that at least one female and Carl are assigned tasks?
members: 9 females, and 8 males including Carl. There are 4 tasks to be assigned.
What is the probability that at least one female and Carl are assigned tasks?
Answers
Answered by
Reiny
number of task assignments without restrictions = C(17,4) = 2380
Carl ---- C
Female --F
Male ----M
cases:
CFMM --- 1*C(9,1)*C(7,2) = 189
CFFM ----1*C(9,2)*C(7,1) = 252
CFFF -----1*C(9,3)*C(7,0) = 84
total cases with Carl and at least one female = 525
prob of the event as stated = 525/2380 = 15/68
Carl ---- C
Female --F
Male ----M
cases:
CFMM --- 1*C(9,1)*C(7,2) = 189
CFFM ----1*C(9,2)*C(7,1) = 252
CFFF -----1*C(9,3)*C(7,0) = 84
total cases with Carl and at least one female = 525
prob of the event as stated = 525/2380 = 15/68
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.