The experimental probability is calculated based on the results of the experiment; since the name Ted was chosen 26 times out of 123, the experimental probability is [tex]\boxed{\frac{26}{123}}.[/tex]
Typically, the theoretical probability assumes that events are chosen randomly; since the name Ted is one of the 6 in the hat, the theoretical probability is [tex]\boxed{\frac{1}{6}}.[/tex]
If we increased the number of names in the hat, we would expect both the experimental and theoretical probability to decrease, since there are now more names to choose from. Similarly, if we decreased the number of names in the hat, the experimental and theoretical probability would increase.
