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If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?
  • a)
    1/6
  • b)
    1/2
  • c)
    1/3
  • d)
    1/4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If two letters are taken at random from the word HOME, what is the Pro...
P(first letter is not vowel) = 2/4
 
P(second letter is not vowel) = 1/3
 
So, probability that none of letters would be vowels is = 2/4 x 1/3 = 1/6
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Most Upvoted Answer
If two letters are taken at random from the word HOME, what is the Pro...
Solution:

Given word is HOME.

Total number of letters in the word HOME is 4.

Number of vowels in the word HOME is 2 (O and E).

Number of consonants in the word HOME is 2 (H and M).

To find the probability of selecting two letters from the word HOME such that none of them is a vowel.

Total number of ways to select 2 letters from the word HOME is 4C2 = 6.

Number of ways to select 2 consonants from the word HOME is 2C2 = 1.

Therefore, the probability of selecting two letters from the word HOME such that none of them is a vowel is 1/6.

Hence, option 'A' is the correct answer.

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Solution:

Given word is HOME.

Total number of letters in the word HOME is 4.

Number of vowels in the word HOME is 2 (O and E).

Number of consonants in the word HOME is 2 (H and M).

To find the probability of selecting two letters from the word HOME such that none of them is a vowel.

Total number of ways to select 2 letters from the word HOME is 4C2 = 6.

Number of ways to select 2 consonants from the word HOME is 2C2 = 1.

Therefore, the probability of selecting two letters from the word HOME such that none of them is a vowel is 1/6.

Hence, option 'A' is the correct answer.
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If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?a)1/6b)1/2c)1/3d)1/4Correct answer is option 'A'. Can you explain this answer?
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