Answer :
To find the probability that a randomly selected letter from the English alphabet comes after the letter 'D', we need to follow these steps:
1. Determine the total number of letters in the English alphabet.
The English alphabet consists of 26 letters.
2. Identify the number of letters that come after 'D'.
The letters in the alphabet are A, B, C, D, E, F, ..., Z.
If we list the letters that come after D, they are: E, F, G, ..., Z.
3. Count the number of letters after 'D'.
Starting from E to Z, there are 26 - 4 = 22 letters after 'D'.
4. Calculate the probability.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Here, the favorable outcomes are the letters after D (22 letters). The total possible outcomes are the total letters in the alphabet (26 letters). So, the probability [tex]\( P \)[/tex] can be calculated as:
[tex]\[ P = \frac{\text{Number of letters after 'D'}}{\text{Total number of letters}} = \frac{22}{26} \][/tex]
5. Simplify the fraction if possible.
Let's simplify [tex]\(\frac{22}{26}\)[/tex]:
[tex]\[ \frac{22}{26} = \frac{11}{13} \][/tex]
So, the probability that a randomly selected letter comes after 'D' in the alphabet is [tex]\(\frac{11}{13}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{11}{13}\)[/tex]
1. Determine the total number of letters in the English alphabet.
The English alphabet consists of 26 letters.
2. Identify the number of letters that come after 'D'.
The letters in the alphabet are A, B, C, D, E, F, ..., Z.
If we list the letters that come after D, they are: E, F, G, ..., Z.
3. Count the number of letters after 'D'.
Starting from E to Z, there are 26 - 4 = 22 letters after 'D'.
4. Calculate the probability.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Here, the favorable outcomes are the letters after D (22 letters). The total possible outcomes are the total letters in the alphabet (26 letters). So, the probability [tex]\( P \)[/tex] can be calculated as:
[tex]\[ P = \frac{\text{Number of letters after 'D'}}{\text{Total number of letters}} = \frac{22}{26} \][/tex]
5. Simplify the fraction if possible.
Let's simplify [tex]\(\frac{22}{26}\)[/tex]:
[tex]\[ \frac{22}{26} = \frac{11}{13} \][/tex]
So, the probability that a randomly selected letter comes after 'D' in the alphabet is [tex]\(\frac{11}{13}\)[/tex].
Therefore, the correct answer is:
B. [tex]\(\frac{11}{13}\)[/tex]
