Question

A 14 sided die is rolled. Find the probability of rolling an odd number. The set of equally likely outcomes is shown below{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14}

Answer 1

Explanation:

The ste of numbers on the 14 sided die is given below as

$\left\{1,2,3,4,5,6,7,8,9,10,11,12,13,14\right\}$

The total sample space is given below as

$n(S)=14$

The set of required out comes which is the odd numbers is given below as

$R=\lbrace1,3,5,7,9,11,13\rbrace$

the number of required outcomes is given below as

$n(R)=7$

To calculate the probability ofrolling an odd number, we will use the formula below

$\begin{gathered} Pr(odd)=\frac{required\text{ }outcomes}{sample\text{ }space} \\ Pr(odd)=\frac{n(R)}{n(S)} \end{gathered}$

By substituting the values, we will have

$\begin{gathered} Pr(odd)=\frac{n(R)}{n(S)} \\ Pr(odd)=\frac{7}{14} \\ Pr(odd)=\frac{1}{2} \end{gathered}$

Hence,

The final answer is

$probabaility(odd)=\frac{1}{2}\text{ }or\text{ }0.5$