Each letter in the word THEORETICAL is written on a separate slip of paper and placed in a hat. A letter is chosen at random from the hat. How much greater are your chances of getting a consonant than a vowel?
Vowels = 5/11
Consonants = 6/11
To determine the chances of getting a consonant or a vowel from the word THEORETICAL, we need to count the number of consonants and vowels in the word.
THEORETICAL has 5 vowels (E, O, E, I, A) and 7 consonants (T, H, R, T, C, L), as the letters "E" and "T" appear twice each.
Since there are a total of 12 letters in the word, the chances of getting a vowel are 5/12, or 41.7%.
Similarly, the chances of getting a consonant are 7/12, or 58.3%.
To calculate the difference in the chances between getting a consonant and a vowel, we subtract the chance of getting a vowel from the chance of getting a consonant:
58.3% - 41.7% = 16.6%
So, the chances of getting a consonant are 16.6% greater than the chances of getting a vowel.
To determine the chances of getting a consonant or a vowel, we first need to know the total number of letters and the number of consonants and vowels in the word.
In the word THEORETICAL, there are a total of 11 letters.
Let's count the number of consonants and vowels:
Consonants: T, H, R, T, C, L
Vowels: E, O, E, I, A, A, I
Counting them, we find that there are 6 consonants and 7 vowels.
To calculate the chances of getting each, we need to divide the number of each type of letter by the total number of letters:
Chances of getting a consonant: 6 / 11
Chances of getting a vowel: 7 / 11
To find out how much greater the chances of getting a consonant are compared to a vowel, we subtract the chances of getting a vowel from the chances of getting a consonant:
Chances of getting a consonant - Chances of getting a vowel = (6/11) - (7/11) = -1/11
The result is -1/11, meaning that with the given distribution of letters in the word, the chances of getting a vowel are 1/11 greater than the chances of getting a consonant.