To determine the probability that a letter selected at random from the English alphabet comes after D, we need to follow these steps:
1. Identify the total number of letters in the English alphabet:
There are 26 letters in the English alphabet.
2. Identify the letters that come after D:
The letter D is the 4th letter in the alphabet. The remaining letters after D start from the letter E up to the letter Z.
- These letters are: E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.
3. Count the number of letters that come after D:
- There are 22 letters after D.
4. Calculate the probability:
- The probability [tex]\(P\)[/tex] of selecting a letter that comes after D from the alphabet is the ratio of the number of favorable outcomes to the total number of outcomes.
- The count of letters after D is 22, and the total count of letters in the alphabet is 26.
[tex]\[
P(\text{letter comes after D}) = \frac{\text{Number of letters after D}}{\text{Total number of letters}} = \frac{22}{26}
\][/tex]
5. Simplify the fraction:
[tex]\[
\frac{22}{26} = \frac{11}{13}
\][/tex]
Hence, the correct answer is:
[tex]\[
B. \frac{11}{13}
\][/tex]
