Question

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

Answer 1

Step-by-step 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}}=(3)/(6)=(1)/(2), \\ P(B)=\frac{\text{ \# of numbers less than 5}}{\text{ total \# of numbers}}=(4)/(6)=(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}}=(2)/(6)=(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)=(1)/(2)+(2)/(3)-(1)/(3)=(5)/(6).`Answer

The probability is 5/6.