1. ## probability

a company with operations in France Italy and America has a board of directors which consists of 7 french 6 Italian and 5 American directors. a group of 3 directors is to be chosen at random to attend a conference . whats the probability at least one american director is chosen in the group selected ?

one of the people has to be American selected and the other two can be Italian or French.
can this be solved using normal probability?

2. ## Re: probability

There are 18 possible directors. So, the probability space has $\dbinom{18}{3}$ possible outcomes. How many outcomes have no American directors? That would be $\dbinom{13}{3}$

So there are $\dbinom{18}{3}-\dbinom{13}{3}$ outcomes with at least one American director.

3. ## Re: probability

Originally Posted by markosheehan
a company with operations in France Italy and America has a board of directors which consists of 7 french 6 Italian and 5 American directors.
A deck of 18 cards containing 7 cards labelled "1",
6 cards labelled "2" and 5 cards labelled "3".