Question

If Talia spins a spinner with 26 equal spaces (labeled A to Z), what is the theoretical probability that she lands on any letter in the word “Mississippi”?(1 point) Responses 313 Start Fraction 3 over 13 End Fraction 16 Start Fraction 1 over 6 End Fraction 23 Start Fraction 2 over 3 End Fraction 213

Answer 1

To calculate the theoretical probability that Talia lands on any letter in the word "Mississippi," we first need to determine the unique letters in "Mississippi" and how many total occurrences of those letters are there.

The word "Mississippi" has the following letters:
- M: 1
- I: 5
- S: 4
- P: 2

Counting all the letters in "Mississippi," there are a total of 11 occurrences.

Now, since the spinner has 26 equal spaces, the probability of landing on any letter that appears in the word "Mississippi" is calculated as follows:

1. The total number of favorable outcomes (letters that appear in "Mississippi") is 4 (M, I, S, P).
2. The total number of possible outcomes (letters on the spinner) is 26.

Thus, the probability \( P \) that Talia lands on a letter from "Mississippi" is:

\[
P = \frac{\text{Total favorable outcomes}}{\text{Total outcomes}} = \frac{4}{26} = \frac{2}{13}
\]

So we find the theoretical probability is:

\[
\frac{2}{13}
\]

This corresponds to option **213**.