SOLUTION: In a class, there are 15 girls and 13 boys. Three students are chosen at random to form a School Council. What is the probability that there will be at least 1 boy on the School Co

Algebra ->  Permutations -> SOLUTION: In a class, there are 15 girls and 13 boys. Three students are chosen at random to form a School Council. What is the probability that there will be at least 1 boy on the School Co      Log On


   



Question 1169686: In a class, there are 15 girls and 13 boys. Three students are chosen at random to form a School Council. What is the probability that there will be at least 1 boy on the School Council?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
find the probability of 0 boys and all girls. That is what you don't want. What you want is 1-that value, since this is a dichotomy.
There are 28 students and 28C3 ways to choose 3.
all girls would be 15C3/28C3
=455/3276
=0.1389
at least one boy chosen will have probability 1-0.1389=0.8611