Question

you roll a 6 - sided die.
what is p(odd)?
write your answer as a percentage.
%

Explanation:

Step1: Determine total outcomes

A 6 - sided die has 6 possible outcomes (\(1,2,3,4,5,6\)). So \(n(S)=6\).

Step2: Determine favorable outcomes

The odd numbers on a die are \(1,3,5\). So \(n(\text{odd}) = 3\).

Step3: Calculate probability as a fraction

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\). Here \(P(\text{odd})=\frac{3}{6}=\frac{1}{2}\).

Step4: Convert fraction to percentage

To convert \(\frac{1}{2}\) to a percentage, use the formula \(\text{Percentage}=\frac{1}{2}\times100\). So \(\frac{1}{2}\times100 = 50\).

Answer:

\(50\)