Question

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

Explanation:

Step1: Determine the total number of outcomes

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

Step2: Determine the number of favorable outcomes

The odd numbers on a 6 - sided die are \(1,3,5\). So \(n(A) = 3\).

Step3: Calculate the probability

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\). Substituting the values, we get \(P(\text{odd})=\frac{3}{6}=\frac{1}{2}\).

Step4: Convert to percentage

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

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Answer:

\(50\%\)