analyze the table representing five experiments with an increasing number of trials. the table shows the…

analyze the table representing five experiments with an increasing number of trials. the table shows the frequency of a coin landing heads up or tails up.\n| experiment | trials | heads | tails |\n| ---- | ---- | ---- | ---- |\n| 1 | 20 | 12 | 8 |\n| 2 | 40 | 25 | 15 |\n| 3 | 60 | 20 | 40 |\n| 4 | 80 | 35 | 45 |\n| 5 | 100 | 48 | 52 |\nwhat can you predict regarding the probability of the coin landing heads up?\nthe frequency does not change with more trials.\nthe experimental probability increases with more trials.\nwith more trials, the frequency of heads up will equal the frequency of tails up.\nthe frequency of heads up decreases with more trials.

analyze the table representing five experiments with an increasing number of trials. the table shows the frequency of a coin landing heads up or tails up.\n| experiment | trials | heads | tails |\n| ---- | ---- | ---- | ---- |\n| 1 | 20 | 12 | 8 |\n| 2 | 40 | 25 | 15 |\n| 3 | 60 | 20 | 40 |\n| 4 | 80 | 35 | 45 |\n| 5 | 100 | 48 | 52 |\nwhat can you predict regarding the probability of the coin landing heads up?\nthe frequency does not change with more trials.\nthe experimental probability increases with more trials.\nwith more trials, the frequency of heads up will equal the frequency of tails up.\nthe frequency of heads up decreases with more trials.

Answer

Explanation:

Step1: Recall probability concept

In a fair - coin toss, theoretical probability of heads is 0.5. As number of trials increases, experimental probability should approach theoretical probability.

Step2: Analyze frequency trends

As the number of trials increases from 20 to 100, the frequency of heads and tails gets closer. For 100 trials, heads is 48 and tails is 52.

Answer:

With more trials, the frequency of heads up will equal the frequency of tails up.