Respuesta :

SOLUTION

Step1: write out the formula for the probability of an event E

[tex]\begin{gathered} Pr(E)=\frac{required\text{ outcome }}{Total\text{ possible outcome}} \\ \\ \text{Total possible of a die is 6} \end{gathered}[/tex]

Step2: Write out the parameters

[tex]\begin{gathered} \text{probability of obtaining 3 is } \\ Pr(3)=\frac{1}{6} \end{gathered}[/tex]

Then

[tex]\begin{gathered} \text{Probability of obtaining 5} \\ Pr(5)=\frac{1}{6} \end{gathered}[/tex]

The probability that the roll of a die will show 3 or 5 is

[tex]\begin{gathered} Pr(3)+Pr(5) \\ \frac{1}{6}+\frac{1}{6} \\ \frac{2}{6}=\frac{1}{3} \end{gathered}[/tex]

The probability that the roll of a die will show 3 or 5 is 1/3

The right option is B