Question

Three of the 15 people in the Latin club are chosen at random to wear togas to school to promote the club. What is the probability that Joseph, Heidi, and Katy are chosen?

Answer 1

3 people are to be chosen from 15 to promote the club. We can find the total number of 3 groups that can be formed from 15 by using the combinations formula, as this is a problem of combinations.

So, total number of possible groups of 3 people out of 15 will be:


`15C3= (15!)/(3!*12!)=455`

So, total 455 groups can be formed of 3 people. Out of these 455 group only 1 group can contain all 3 members Joseph, Heidi, and Katy.

So, the probability that Joseph, Heidi, and Katy are chosen = 1/455