Question

Give the probability that the roll of a die will show 3 or 5.A. 1/2B. 1/3C. 5/6D. 2

Answer 1

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

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

Step2: Write out the parameters

`\begin{gathered} \text{probability of obtaining 3 is } \\ Pr(3)=(1)/(6) \end{gathered}`

Then

`\begin{gathered} \text{Probability of obtaining 5} \\ Pr(5)=(1)/(6) \end{gathered}`

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

`\begin{gathered} Pr(3)+Pr(5) \\ (1)/(6)+(1)/(6) \\ (2)/(6)=(1)/(3) \end{gathered}`

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

The right option is B