Question

a spinner is divided into 5 sections of equal size. you spin it 4 times, with the following results: 1, 5, 3, 2. which of the following is false?
a. the theoretical probability of a 1 is 20%.
c. if you spin the spinner again and get different results, the theoretical probability will change.
b. the experimental probability of a 2 is 25%.
d. all of the above are true.
please select the best answer from the choices provided
○ a
○ b
○ c
○ d

Explanation:

• Option A: The spinner has 5 equal sections. Theoretical probability of landing on 1 is $\frac{1}{5} = 0.2 = 20\%$, so A is true.
• Option B: Experimental probability of 2: In 4 spins, 2 appears once. So $\frac{1}{4}=0.25 = 25\%$, so B is true.
• Option C: Theoretical probability depends on the spinner's design (5 equal sections), not the experimental results. So spinning again won't change theoretical probability. Thus, C is false.
• Option D: Since C is false, D is false.

Answer:

C