Question

summarize what happens when the number of spins in experimental probability gets closer to 100.
a. the outcomes get further from the theoretical probability for the same experiment.
b. the outcomes get closer to the theoretical probability for the same experiment.
c. the outcomes stay the same.
d. the sample space gets larger.

please select the best answer from the choices provided

○ a
○ b
○ c
○ d

Explanation:

In experimental probability, as the number of trials (spins here) increases (approaching 100), the law of large numbers states that the experimental probability (based on actual results) approaches the theoretical probability (the expected probability from calculations). Option a is wrong as outcomes get closer, not further. Option c is wrong as outcomes vary but the probability estimate changes. Option d is wrong as the sample space (set of possible outcomes) doesn't change with the number of spins. So the correct answer is the one where outcomes get closer to theoretical probability.

Answer:

B. The outcomes get closer to the theoretical probability for the same experiment.