To find the theoretical probability that Talia lands on any letter in the word "Mississippi" when spinning a spinner with 26 equal spaces labeled A to Z, we first need to identify the letters in the word "Mississippi" and their distinct counts.
The letters in "Mississippi" are:
- M: 1
- i: 4
- s: 4
- p: 2
The unique letters in the word "Mississippi" are M, i, s, and p. Thus, there are 4 different letters.
Next, we determine the total number of possible outcomes when Talia spins the spinner. Since there are 26 letters in total (A to Z), there are 26 possible outcomes.
Now, we calculate the probability of landing on any letter in the word "Mississippi". The probability is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
The number of favorable outcomes is the count of the unique letters in "Mississippi", which is 4 (M, i, s, and p).
Thus,
\[ \text{Probability} = \frac{4}{26} = \frac{2}{13} \]
Therefore, the theoretical probability that Talia lands on any letter in the word "Mississippi" is \(\frac{2}{13}\).
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