Question

q 17.) a spinner with three equal - sized sections labeled a, b, and c is spun 100 times. the table shows the frequency each letter was spun. what is the theoretical probability of landing on section c? write your answer as a fraction in simplest form.

section	a	b	c
frequency	26	43	31

Explanation:

Step1: Recall probability formula

The theoretical probability of an event is given by the formula $P(E)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify values

The spinner has 3 equal - sized sections. Landing on section C is the event we are interested in. The number of favorable outcomes (sections labeled C) is 1, and the total number of outcomes (total sections) is 3.

Answer:

$\frac{1}{3}$