Math  /  Data & Statistics

QuestionFind the probability that a vowel will match when choosing one letter from the word "Probability".

Studdy Solution

STEP 1

1. The word "Probability" consists of the letters: P, R, O, B, A, B, I, L, I, T, Y.
2. The vowels in the word "Probability" are: O, A, I, I.
3. We are choosing one letter at random from the word.
4. We need to find the probability of selecting a vowel.

STEP 2

1. Determine the total number of letters in the word "Probability".
2. Identify and count the number of vowels in the word.
3. Calculate the probability of selecting a vowel by dividing the number of vowels by the total number of letters.

STEP 3

Determine the total number of letters in the word "Probability".
The word "Probability" has 11 letters.

STEP 4

Identify and count the number of vowels in the word.
The vowels in "Probability" are: O, A, I, I.
Therefore, the number of vowels is 4.

STEP 5

Calculate the probability of selecting a vowel.
The probability P P is given by the number of favorable outcomes (number of vowels) divided by the total number of possible outcomes (total letters).
P=Number of vowelsTotal number of letters=411 P = \frac{\text{Number of vowels}}{\text{Total number of letters}} = \frac{4}{11}
The probability that a vowel will match when choosing one letter from the word "Probability" is:
411 \frac{4}{11}

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