You write each letter of the word MATHEMATICS on a piece of paper and place each letter in a bag. You select one letter at random. What is P(consonant)
A:7/11
B:7/4
C: 4/11
Solution :- Given letter is MATHEMATICS
So, total letter is 11
no. of vowels =4
no. of consonant =7
So (i) probability of choosing vowel is 4/11
(ii) probability of choosing consonant is 7/11.
In your problem, the answer would most likely be A (7/11, but if your question is 2 parts, then the answer would be C (4/11). You decide.
To find the probability of selecting a consonant from the bag, we first need to determine the total number of letters in the word MATHEMATICS and the number of consonants within it.
1. Total number of letters: The word MATHEMATICS has 11 letters.
2. Number of consonants: Consonants are the letters that are not vowels. In the word MATHEMATICS, the consonants are M, T, H, M, T, C, and S. There are 7 consonants.
Now, the probability of selecting a consonant can be calculated by dividing the number of favorable outcomes (selecting a consonant) by the total number of outcomes (selecting any letter).
Favorable outcomes: 7 (number of consonants)
Total outcomes: 11 (total number of letters)
Therefore, the probability P(consonant) = 7/11.
Hence, the correct answer is A: 7/11.