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

Step-by-step 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)=(n(R))/(n(S)) \end{gathered}`

By substituting the values, we will have

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

Hence,

The final answer is

`probabaility(odd)=(1)/(2)\text{ }or\text{ }0.5`