Question

a spinning wheel has numbers 1 to 50. what is the probability of getting an odd number less than 15? 7% 14% 20% 25%

Explanation:

Step1: Determine the total number of outcomes

The spinning wheel has numbers from \(1\) to \(50\), so the total number of possible outcomes \(n(S)=50\).

Step2: Find the number of favorable outcomes

The odd numbers less than \(15\) are \(1,3,5,7,9,11,13\). So the number of favorable outcomes \(n(A) = 7\).

Step3: Calculate the probability

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\). Substituting the values, we get \(P(A)=\frac{7}{50}\).

Step4: Convert to percentage

To convert \(\frac{7}{50}\) to a percentage, we use the formula \(\frac{7}{50}\times100\%\).

$$ \frac{7}{50}\times100\%=(7\times2)\% = 14\% $$

Answer:

\(14\%\)