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Sagot :
To determine the probability that a randomly selected letter from the English alphabet comes after the letter 'D', we can follow these steps:
1. Count the total number of letters in the English alphabet: There are 26 letters in total.
2. Identify the letters that come after 'D': The letters after 'D' are 'E' to 'Z'. Let's count them:
- 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'.
- There are 22 letters in total after 'D'.
3. Calculate the probability:
- The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
- The number of favorable outcomes (letters after 'D') is 22.
- The total number of possible outcomes (letters in the alphabet) is 26.
- Hence, the probability [tex]\( P \)[/tex] that a randomly selected letter comes after 'D' is:
[tex]\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{22}{26} \][/tex]
- Simplify the fraction:
[tex]\[ \frac{22}{26} = \frac{11}{13} \][/tex]
Therefore, the correct answer is:
[tex]\[ B. \frac{11}{13} \][/tex]
1. Count the total number of letters in the English alphabet: There are 26 letters in total.
2. Identify the letters that come after 'D': The letters after 'D' are 'E' to 'Z'. Let's count them:
- 'E', 'F', 'G', 'H', 'I', 'J', 'K', 'L', 'M', 'N', 'O', 'P', 'Q', 'R', 'S', 'T', 'U', 'V', 'W', 'X', 'Y', 'Z'.
- There are 22 letters in total after 'D'.
3. Calculate the probability:
- The probability is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
- The number of favorable outcomes (letters after 'D') is 22.
- The total number of possible outcomes (letters in the alphabet) is 26.
- Hence, the probability [tex]\( P \)[/tex] that a randomly selected letter comes after 'D' is:
[tex]\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{22}{26} \][/tex]
- Simplify the fraction:
[tex]\[ \frac{22}{26} = \frac{11}{13} \][/tex]
Therefore, the correct answer is:
[tex]\[ B. \frac{11}{13} \][/tex]
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