GMAT Exam  >  GMAT Questions  >  There are two sets of letters, and you are go... Start Learning for Free
There are two sets of letters, and you are going to pick exactly one letter from each set.
Set #1 = {A, B, C, D, E}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set.  What is the probability of picking at least one vowel?
  • a)
    1/6
  • b)
    1/3
  • c)
    1/2
  • d)
    2/3
  • e)
    5/6
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
There are two sets of letters, and you are going to pick exactly one l...
P(at least one vowel) = 1 – P(no vowels)
The probability of picking no vowel from the first set is 3/5. The probability of picking no vowel from the second set is 5/6. In order to get no vowels at all, we need no vowels from the first set AND no vowels from the second set. According to the AND rule, we multiply those probabilities.
P(no vowels) = (3/5) * (5/6) = 1/2
P(at least one vowel) = 1 – P(no vowels) = 1 – 1/2 = 1/2
Answer = C
View all questions of this test
Most Upvoted Answer
There are two sets of letters, and you are going to pick exactly one l...
Solution:

Understanding the Sets:
- Set #1 = {A, B, C, D, E} contains 5 letters where 2 are vowels (A, E) and 3 are consonants.
- Set #2 = {K, L, M, N, O, P} contains 6 letters where 1 is a vowel (O) and 5 are consonants.

Total Possible Outcomes:
Total possible outcomes = Total options in Set #1 * Total options in Set #2
Total possible outcomes = 5 * 6 = 30

Favorable Outcomes:
- Favorable outcomes where at least one vowel is picked
= (Selecting 1 vowel from Set #1 and any letter from Set #2)
+ (Selecting any letter from Set #1 and 1 vowel from Set #2)
+ (Selecting 2 vowels from Set #1 and any letter from Set #2)

Calculating Probabilities:
- Probability of picking 1 vowel from Set #1 = 2/5
- Probability of picking 1 vowel from Set #2 = 1/6
- Probability of at least one vowel =
= (2/5 * 6/6) + (3/5 * 1/6) + (2/5 * 1/6)
= 12/30 + 3/30 + 2/30
= 17/30

Final Answer:
Therefore, the probability of picking at least one vowel from the given sets is 17/30, which simplifies to 1/2. Hence, the correct answer is option 'C'.
Explore Courses for GMAT exam
There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer?
Question Description
There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer?.
Solutions for There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.
Here you can find the meaning of There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer?, a detailed solution for There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice There are two sets of letters, and you are going to pick exactly one letter from each set.Set #1 = {A, B, C, D, E}Set #2 = {K, L, M, N, O, P}There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel?a)1/6b)1/3c)1/2d)2/3e)5/6Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice GMAT tests.
Explore Courses for GMAT exam
Signup to solve all Doubts
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev