Question

1. the spinner below has 4 parts, each containing a letter. letter a is $\frac{1}{2}$ of the circle, b is $\frac{1}{4}$ of the circle, and c and d are each $\frac{1}{8}$ of the circle. ben spun the spinner 50 times and landed on the letter b 15 times. is the experimental probability greater than or less than the theoretical probability of landing on the letter b? answer greater than or less than.

Explanation:

Step1: Calculate theoretical probability of landing on B

The theoretical probability of landing on B is given as $\frac{1}{4}$.

Step2: Calculate experimental probability of landing on B

Experimental probability = $\frac{\text{Number of times B occurred}}{\text{Total number of spins}}$. So, it is $\frac{15}{50}=\frac{3}{10}$.

Step3: Compare the two probabilities

We need to compare $\frac{1}{4}$ and $\frac{3}{10}$. Make a common - denominator: $\frac{1}{4}=\frac{1\times5}{4\times5}=\frac{5}{20}$ and $\frac{3}{10}=\frac{3\times2}{10\times2}=\frac{6}{20}$. Since $\frac{6}{20}>\frac{5}{20}$, $\frac{3}{10}>\frac{1}{4}$.

Answer:

greater than