Question

I need help with this question - make sure you type it in a fraction or integer for the answer

Answer 1

Explanation

In this problem, we are interested in two events:

• A = the result is an even number,

,

• B = the result is a number less than 5.

The probability of each event is:

$\begin{gathered} P(A)=\frac{\text{ \# of even numbers}}{\text{ total \# of numbers}}=\frac{3}{6}=\frac{1}{2}, \\ P(B)=\frac{\text{ \# of numbers less than 5}}{\text{ total \# of numbers}}=\frac{4}{6}=\frac{2}{3}. \end{gathered}$

The probability of rolling an even number less than 5 is:

$P(A\cap B)=\frac{\text{ \# of even numbers less than 5}}{\text{ total \# of numbers}}=\frac{2}{6}=\frac{1}{3}.$

The probability of rolling an even number or a number less than 5 is:

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=\frac{1}{2}+\frac{2}{3}-\frac{1}{3}=\frac{5}{6}.$Answer

The probability is 5/6.