The letters in the word MATHEMATICS are arranged randomly.
What is the probability that the first letter is E?
Preview
What is the probability that the first letter is M?
#of E's/total number of letters = ?
#of M's/total number of letters = ?
1/11
2/11
what is P(n,p)?
To calculate the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes: The word "MATHEMATICS" has a total of 11 letters. Hence, there are 11 possible letters that could be the first letter.
Number of favorable outcomes (in this case, the first letter being E): There is only 1 occurrence of the letter E in the word "MATHEMATICS".
Thus, the probability of the first letter being E is 1 out of 11, or 1/11.
To calculate the probability of the first letter being M, we follow the same steps:
Total number of outcomes: The word "MATHEMATICS" has a total of 11 letters. Hence, there are 11 possible letters that could be the first letter.
Number of favorable outcomes (in this case, the first letter being M): There are 2 occurrences of the letter M in the word "MATHEMATICS".
Thus, the probability of the first letter being M is 2 out of 11, or 2/11.