Question

Deena and Jackson tossed two coins at the same time. In five tosses, Deena got heads on both coins three times. In 50 tosses, Jackson got heads on both coins 12 times. What does this illustrate about theoretical and experimental probability that both tossed coins will be heads?

Experimental probability approaches theoretical probability when the sample size is large.
Experimental probability is not affected by sample size.
Smaller groups give more accurate results.
Larger groups have greater chance for error.

Answer 1

experimental probability approaches theoretical probability when the sample size is large.

Explanation:

This illustrates that experimental probability approaches theoretical probability when the sample size is large. As the number of tosses increases, the experimental probability of both coins being heads for both Deena and Jackson approaches the theoretical probability of 1/4 (since the probability of getting heads on a single coin toss is 1/2, and the probability of getting heads on two coin tosses is (1/2) * (1/2) = 1/4). This is because the law of large numbers states that as the sample size increases, the experimental probability approaches the theoretical probability. Therefore, the more tosses that are performed, the closer the experimental probability will be to the theoretical probability.