A letter is chosen at random from the word mathematics. what is the probability of choosing either a T or an M?
A) 4/11
B) 3/11
C) 1/11
D) 2/11
4/11
2/11
To find the probability of choosing either a T or an M from the word "mathematics," we need to find the total number of favorable outcomes (choices of T or M) and divide it by the total number of possible outcomes (total letters in the word "mathematics").
The word "mathematics" contains 11 letters, so there are 11 possible choices.
There are 2 occurrences of the letter T and 1 occurrence of the letter M in the word "mathematics." So, there are 2 + 1 = 3 favorable choices.
Therefore, the probability of choosing either a T or an M from the word "mathematics" is 3/11.
So, the correct answer is B) 3/11.
To find the probability of choosing either a T or an M from the word mathematics, we need to determine the number of favorable outcomes (the number of T's and M's) and the total number of possible outcomes (the total number of letters in the word).
1. Count the number of T's in the word mathematics: There is only one T.
2. Count the number of M's in the word: There are two M's.
3. Determine the total number of letters in the word: The word mathematics has 11 letters.
Now, we can calculate the probability:
Number of favorable outcomes (T's and M's) = 1 (T) + 2 (M) = 3
Total number of possible outcomes (letters in the word) = 11
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 11
Therefore, the probability of choosing either a T or an M from the word mathematics is 3/11.
The correct answer is B) 3/11.