Question

What are the odds in favor of rolling an odd number on a fair die?

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the number of odd numbers on a die

`\begin{gathered} \text{Odd number}=1,3,5 \\ n(odd)=3 \\ Total\text{ outcome of a die}=1,2,3,4,5,6 \\ n(Total)=6 \end{gathered}`

STEP 2: Find the probability of getting an odd number

`Pr(odd)=(3)/(6)=(1)/(2)`

STEP 3: Calculate the odd in favor

`\begin{gathered} odds\text{ in favour}=(Pr(odd))/(1-Pr(odd)) \\ =((1)/(2))/(1-(1)/(2))=((1)/(2))/((1)/(2))=(1)/(2)/(1)/(2)=(1)/(2)*(2)/(1)=1 \end{gathered}`

Hence, the odds in favorof rolling amn odd number on a fair die is 1