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A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel, is :
- a)2/9
- b)4/9
- c)3/9
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
A single letter is selected at random from the word PROBABILITY. The p...
Out of 11 letters in the word PROBABILITYO,A,I and I are the vowels.
So probability that the letter selected is a vowel, is 4/11
So probability that the letter selected is a vowel, is 4/11
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A single letter is selected at random from the word PROBABILITY. The p...
Probability of selecting a vowel from the word PROBABILITY
To find the probability of selecting a vowel from the word PROBABILITY, we first need to determine the number of vowels and the total number of letters in the word.
Number of vowels in the word:
The word PROBABILITY has three vowels - O, A, and I.
Total number of letters in the word:
The word PROBABILITY has eleven letters.
Calculating the probability:
To calculate the probability, we divide the number of favorable outcomes (selecting a vowel) by the total number of possible outcomes (selecting any letter from the word).
In this case, the number of favorable outcomes is 3 (the number of vowels), and the total number of possible outcomes is 11 (the total number of letters in the word).
Therefore, the probability of selecting a vowel from the word PROBABILITY is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 11
Simplifying the fraction:
To simplify the fraction, we can divide both the numerator and denominator of the fraction by their greatest common divisor (GCD). In this case, the GCD of 3 and 11 is 1.
Dividing both 3 and 11 by 1, we get:
Probability = 3 / 11
Therefore, the probability of selecting a vowel from the word PROBABILITY is 3/11.
Conclusion:
The correct answer is option D, which states that the probability is none of the given options. The probability of selecting a vowel from the word PROBABILITY is 3/11.
To find the probability of selecting a vowel from the word PROBABILITY, we first need to determine the number of vowels and the total number of letters in the word.
Number of vowels in the word:
The word PROBABILITY has three vowels - O, A, and I.
Total number of letters in the word:
The word PROBABILITY has eleven letters.
Calculating the probability:
To calculate the probability, we divide the number of favorable outcomes (selecting a vowel) by the total number of possible outcomes (selecting any letter from the word).
In this case, the number of favorable outcomes is 3 (the number of vowels), and the total number of possible outcomes is 11 (the total number of letters in the word).
Therefore, the probability of selecting a vowel from the word PROBABILITY is given by:
Probability = Number of favorable outcomes / Total number of possible outcomes
= 3 / 11
Simplifying the fraction:
To simplify the fraction, we can divide both the numerator and denominator of the fraction by their greatest common divisor (GCD). In this case, the GCD of 3 and 11 is 1.
Dividing both 3 and 11 by 1, we get:
Probability = 3 / 11
Therefore, the probability of selecting a vowel from the word PROBABILITY is 3/11.
Conclusion:
The correct answer is option D, which states that the probability is none of the given options. The probability of selecting a vowel from the word PROBABILITY is 3/11.
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A single letter is selected at random from the word PROBABILITY. The probability that it is a vowel, is :a)2/9b)4/9c)3/9d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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