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 23 Start Fraction 2 over 3 End Fraction 313 Start Fraction 3 over 13 End Fraction 213 Start Fraction 2 over 13 End Fraction 16 Start Fraction 1 over 6 End Fraction

1 answer

The word "Mississippi" has the following letters and their frequencies:

  • M: 1
  • I: 4
  • S: 4
  • P: 2

The total number of letters in "Mississippi" is 11.

Now, we need to determine the distinct letters in "Mississippi." The letters present are M, I, S, and P.

The probability of landing on any letter that is in "Mississippi" can be calculated by finding the number of favorable outcomes (letters in "Mississippi") versus the total outcomes (total letters on the spinner).

There are 4 distinct successful choices (M, I, S, P) out of 26 total letters on the spinner.

The theoretical probability \( P \) of landing on a letter in "Mississippi" is given by:

\[ P = \frac{\text{Number of successful outcomes}}{\text{Total number of outcomes}} = \frac{4}{26} = \frac{2}{13} \]

Thus, the theoretical probability that Talia lands on any letter in the word "Mississippi" is \( \frac{2}{13} \).

So the correct response is:

\[ \text{Answer: } \frac{2}{13} \]