00:01
Part 8, quickly going over what's been done already, we're selecting three pilots from 10, so we get 10 to 3, and then we're selecting 6 attendance from 31, so we got 31 2 ,6.
00:13
We ended up with 88 ,353 ,720 ways.
00:17
Then we need to find the probability that a fly staff by exactly two men and seven women.
00:21
So we need to consider a sort of number of ways to choose two male pilots, one female pilots, and then five male and one female flight attendant because remember we need to have at least one of each gender for each role so this can be calculated using seven choose two times with three choose one for the pilots okay so this deals with pilots here and then just choosing five men from seven for the flight attendants times by one more female left over so one chosen from 24 flight attendants.
01:09
Okay, so then we need to divide that through by the total number of ways, which we can select these, which we just found was $88 ,350 ,720.
01:23
So this gives you 63 times 21 times 24 divided through by what we found earlier.
01:37
And this gives you a very small number, approximately 0 .0 .0 .3 .9.
01:46
Okay, number four, case two here, since the stuff in the cockpit the cockpit must be assigned separate responsibilities, we need to consider the order of the pilots...