Among the contestants in a competition are 43 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men?  Round to five decimals.

Expert Answers info

justaguide eNotes educator | Certified Educator

calendarEducator since 2010

write12,544 answers

starTop subjects are Math, Science, and Business

There are 43 women and 21 men in the group of contestants. If 5 winners are randomly selected the probability that all of them are men is given by `(21*20*19*18*17)/(64*63*62*61*60) = 0.00004`

The probability that all the 5 randomly chosen winners are men is 0.00004

check Approved by eNotes Editorial