How to say "Do you speak English"?
"Вы говорите по-Английски?"
A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that the committee has 3 women and 2 men.
In what follows nCr = n! / [ (n - r)!r! ] and is the number of combinations of n objects taken r at the time and P(A) is the probability that even A happens. There are 16C5 ways to select 5 people (committee members) out of a total of 16 people (men and women) There are 10C3 ways to select 3 women out of 10. There are 6C2 ways to select 2 men out of 6. There are 10C3*6C2 ways to select 3 women out of 10 AND 2 men out of 6. P(3 women AND 2 men) = 10C3*6C2 / 16C5 = 0.412087 b) similarly: P(4 women AND 1 men) = 10C4*6C1 / 16C5 = 0.288461 c) similarly: P(5 women ) = 10C5*6C0 / 16C5 = 0.0576923 (in 6C0 the 0 is for no men)
Which source of energy involves the splitting of heavy atoms?