Question

What will caused the probability of the experiment does not match to the theoretical probabilities? And what's 0 to the 0th power?

Answer 1

Experimental probability is what happens; it's obtained based on outcomes of an experiment with a certain number of trials.

Theoretical probability is what is expected to happen. It is based on an estimate of predicted outcomes of an experimental.

0⁰ is an indeterminate form.

Any number to the power 0 is 1 except for zero

Answer 2

see below

Explanation:

A theoretical probability the what we think will happen like flipping a coin 10 times and getting 5 heads. We more than likely will not get 5 heads if we flip a coin 10 times. The experimental probability gets closer to the theoretical probability the more times we run the experiment. If we flip a coin a 100 times it will probably be closer to 50 heads than it was at 10 times. If we flip a coin a 1000 times, it would get even closer.

0^0 is undefined. It is like me asking you to tear a piece of paper into 0 pieces. You cannot do it. Group 0 pieces of paper into 0 groups. It logically doesn't make sense.