Question

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Answer 1

@TheRaggedyDoctor

Answer 2

The difference in experiment and theoretical probability is illustrated with an example:

Suppose i flip a coin 100 times and count how many heads I get.
I counted 44 heads. Then the experimental probability of getting heads is equal to the proportion of heads , or 44/100 = .44

Theoretical probability is the probability of the coin that I know even before I flip the coin, by theoretical consideration of the event. Before i flip the coin, i reckon there are 2 possible choices of heads or tails, and they are both equally likely choices. So the theoretical probability is 1/2 or 0.5
The theoretical probability does not change.
The experimental probability can change, if you do more flips. We expect that the more times you flip your coin, the proportion of heads will get closer to 0.5

So if i flip my coin 10,000 times i might observe 4947 heads which gives me the proportion 4949/10,000 =0.4947 which is closer to 0.5

Answer 3

Now your question:
But I'm doing a project where I flip 2 coins 100 times.
What is the theoretical probability that a coin toss results in two heads showing?

Before we flip the coin, what are the possible results? Let's list them:
HH, HT, TH, TT
The theoretical probability of getting two consecutive heads is 1/4, since all 4 possibilities are equally likely. Note that 1/4 = 0.25

What is the experimental probability that a coin toss results in two heads showing?

Results: Two heads- 27/100
this is equal to decimal 0.27, and that is pretty close to the theoretical probability of 0.25
The more times you toss two coins and count the occurrences of two heads, the closer we expect it to be to 0.25