Question

davis performed an experiment in which he spun a 4 - color spinner 20 times. he recorded his results in the frequency table. first experiment: color - red (frequency: 5), green (frequency: 5), blue (frequency: 8), purple (frequency: 2) davis predicts that if he spins the spinner another 20 times, the frequency for the red and green segments will still be equal. is davis correct? options: yes. another experiment will give the same numbers as the first experiment. yes. the experimental probabilities remain the same for all experiments. no. the frequencies will be multiplied by 20. no. the frequencies and probabilities for red and green segments might change in the next experiment.

Explanation:

Experimental probability (based on frequencies) in random experiments like spinning a spinner is subject to variation between trials. Even though red and green had the same frequency (5) in the first 20 spins, the random nature of the spinner means the next 20 spins could yield different frequencies (and thus different experimental probabilities) for red and green. So Davis is incorrect to assume the frequencies will remain equal.

Answer:

No. The frequencies and probabilities for red and green segments might change in the next experiment.