SOLUTION: In a class containing 10 boys and 8 girls 5 students are chosen (a)what is the probability that at least one girl is chosen (b)what is the probability that all boys will be chos

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Question 298612: In a class containing 10 boys and 8 girls 5 students are chosen
(a)what is the probability that at least one girl is chosen
(b)what is the probability that all boys will be chosen
(c)what is the probability that all girls will be chosen
(d)what is the probability that exactly 2 girls and 3 boys will be chosen
Answer by Jeff Gordon(65)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.73205080756888, -1.73205080756888. Here's your graph:
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