Discrete Mathematics
# Discrete Probability

Let \(X\) be the number of televisions for a household chosen randomly. It is given that

\[ \begin{align} P(X=1) & = 0.18, \\ P(X=2) & = 0.36, \\ P(X=3) & = 0.34, \\ P(X=4) & = 0.08, \\ P(X=5) & = 0.04. \end{align} \]

If \(P(X < 5) = a\), what is the value of \(100a\)?

In a group of \(120\) students, \(7\) have black hair, \(35\) have blond hair, \(12\) have red hair, and the remaining have brown hair. If a student is selected uniformly at random from the group, the probability that the student has black hair or blond hair can be expressed as \(\frac{a}{b}\), where \(a\) and \(b\) are coprime positive integers. What is the value of \(a+b?\)

**Details and assumptions**

Each student has exactly one hair color.

×

Problem Loading...

Note Loading...

Set Loading...