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There are 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability of choosing more than one vowel?
  • a)
    3/5
  • b)
     4/15
  • c)
    17/42
  • d)
    15/42
  • e)
    1/21
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
There are 9 letters; 5 consonants and 4 vowels. Three letters are chos...
To find the probability of choosing more than one vowel, we need to first calculate the total number of ways we can choose 3 letters from the 9 available letters.

Total number of ways to choose 3 letters from 9 = 9C3 = 84

Next, we need to calculate the number of ways we can choose more than one vowel.

Number of ways to choose more than one vowel:
- We can choose 2 vowels and 1 consonant (4C2 * 5C1 = 6 * 5 = 30)
- We can choose 3 vowels (4C3 = 4)

So, the total number of ways to choose more than one vowel = 30 + 4 = 34

Finally, we can calculate the probability by dividing the number of favorable outcomes (choosing more than one vowel) by the total number of possible outcomes (choosing 3 letters from 9).

Probability = Number of favorable outcomes / Total number of possible outcomes
= 34 / 84
= 17 / 42

Therefore, the probability of choosing more than one vowel is 17/42.

Hence, the correct answer is option C) 17/42.
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There are 9 letters; 5 consonants and 4 vowels. Three letters are chosen at random. What is the probability of choosing more than one vowel?a)3/5b)4/15c)17/42d)15/42e)1/21Correct answer is option 'C'. Can you explain this answer?
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