Connect with a community that values knowledge and expertise on IDNLearn.com. Our experts provide timely and precise responses to help you understand and solve any issue you face.
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]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.