Question

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.

experiment	trials	heads	tails
2	40	25	15
3	60	20	40
4	80	35	45
5	100	48	52

what can you predict regarding the probability of the coin landing heads up?
the frequency does not change with more trials.
the experimental probability increases with more trials.
with more trials, the frequency of heads up will equal the frequency of tails up.
the frequency of heads up decreases with more trials.

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.