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If two letters are taken at random from the word HOME, _________ 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, _________ is th...
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, _________ is th...
Probability of Choosing Non-Vowels from the Word HOME

The given word is HOME. We need to find the probability of choosing two letters at random from the word such that none of the letters is a vowel.

Total Number of Ways to Choose Two Letters from HOME

There are 4 letters in the word HOME. Therefore, the total number of ways to choose two letters at random from the word is:

n(S) = 4C2 = 6

where n(S) represents the total number of possible outcomes.

Number of Ways to Choose Two Non-Vowel Letters from HOME

There are two non-vowel letters in the word HOME, i.e., H and M. Therefore, the total number of ways to choose two non-vowel letters at random from the word is:

n(E) = 2C2 = 1

where n(E) represents the number of favorable outcomes.

Probability of Choosing Two Non-Vowel Letters from HOME

The probability of choosing two non-vowel letters at random from the word HOME is:

P(E) = n(E)/n(S) = 1/6

Therefore, the correct option is A, i.e., 1/6.
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Community Answer
If two letters are taken at random from the word HOME, _________ is th...
Ways to select 2 letters from 4 is 4c2 is 6 ways then ways to select consonant letters is 1 way ( only consonants h,m) then probability that none of them is a vowel is favourable outcomes /total outcomes is 1/6
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If two letters are taken at random from the word HOME, _________ 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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