To find the theoretical probability that Talia lands on any letter in the word "Mississippi," we need to consider the distinct letters in "Mississippi" and their occurrences:
The letters in "Mississippi" are:
- M (1 time)
- I (4 times)
- S (4 times)
- P (2 times)
The distinct letters total to 4 (M, I, S, and P).
Now, we need to calculate the total occurrences of these letters:
- M: 1
- I: 4
- S: 4
- P: 2
So the total occurrences of these letters is \(1 + 4 + 4 + 2 = 11\).
Now we calculate the total number of distinct outcomes on the spinner, which is 26 (letters A to Z).
The probability of landing on a letter in "Mississippi" (any of the letters M, I, S, and P) is the number of successful outcomes (which is the total occurrences of the letters from "Mississippi") divided by the total possible outcomes (which is the total number of unique letters).
The theoretical probability can be calculated as follows:
\[ P(\text{landing on M, I, S, or P}) = \frac{\text{Total occurrences}}{\text{Total letters on spinner}} = \frac{11}{26} \]
So the theoretical probability is \(\frac{11}{26}\).
The answer provided, \( \frac{1}{6} \), is not correct. The correct theoretical probability that Talia lands on any of the letters in "Mississippi" is \( \frac{11}{26} \).