Final answer:
The law of large numbers indicates the experimental probability of an event approaches the theoretical probability as the number of trials increases. The correct answer is option (b).
Step-by-step explanation:
The student is asking which statement is most likely to be true for tossing two coins simultaneously in relation to the law of large numbers. The law states that as the number of trials in a probability experiment increases, the experimental probability of an event will get closer to the theoretical probability.
When tossing two coins, there are four possible outcomes: HH, HT, TH, and TT. The theoretical probability of getting two heads (HH) is 0.25, since there is one way to get HH out of four possible outcomes. Therefore, the experimental probability of getting two heads should approach 0.25 as the number of tosses increases.
Given the options provided:
Statement (b) is the most likely to be true because with 100 trials, there is a greater chance for the experimental probability to get closer to the theoretical probability of 0.25 for obtaining two heads when tossing two coins, as predicted by the law of large numbers.