Question

(experimental probability mc)
a spinner with 4 equal sections is spun 20 times. the frequency of spinning each color is recorded in the table below.

outcome	frequency
pink	6
white	3
blue	7
orange	4

what statement best compares the theoretical and experimental probability of landing on orange?
the theoretical probability of landing on orange is $\frac{1}{5}$, and the experimental probability is 20%.
the theoretical probability of landing on orange is $\frac{1}{4}$, and the experimental probability is 20%.
the theoretical probability of landing on orange is $\frac{1}{5}$, and the experimental probability is 30%.
the theoretical probability of landing on orange is $\frac{1}{4}$, and the experimental probability is 50%.

Explanation:

Step1: Calculate theoretical probability

The spinner has 4 equal - sections. The theoretical probability of landing on any one section is $\frac{1}{4}$ since there is 1 favorable outcome out of 4 total possible outcomes.

Step2: Calculate experimental probability

The spinner is spun 20 times and lands on orange 4 times. The experimental probability $P$ of landing on orange is calculated as $P=\frac{\text{Number of times orange occurred}}{\text{Total number of spins}}=\frac{4}{20}= 0.2 = 20\%$.

Answer:

The theoretical probability of landing on orange is $\frac{1}{4}$, and the experimental probability is 20%.