Question

alex conducted an experiment with a spinner. he recorded the frequency of each spin landing on letters a through d in the table. based on the data in the table, what is the experimental probability that the next spin will land on the letter b? alex’s spinner results table: letter (a, b, c, d), frequency (6, 8, 7, 9)

Explanation:

Step1: Calculate total trials

Sum frequencies: \(6 + 8 + 7 + 9\)
\(= 6 + 8 + 7 + 9 = 30\)

Step2: Find experimental probability for B

Probability = \(\frac{\text{Frequency of B}}{\text{Total trials}}\)
\(= \frac{8}{30} = \frac{4}{15}\)

Answer:

\(\frac{4}{15}\)