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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}
What is the probability of picking a C or an M?
  • a)
    1/30
  • b)
    1/15
  • c)
    1/6
  • d)
    1/5
  • e)
    1/3
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
There are two sets of letters, and you are going to pick exactly one l...
Calculating the Probability of Picking a C or an M
To calculate the probability of picking a C or an M, we need to first determine the total number of possible outcomes and the number of favorable outcomes.

Total Number of Possible Outcomes:
- Set #1 has 5 letters (A, B, C, D, E)
- Set #2 has 6 letters (K, L, M, N, O, P)
- Total number of possible outcomes = 5 (from Set #1) * 6 (from Set #2) = 30

Number of Favorable Outcomes:
- The favorable outcomes for picking a C or an M are:
- C from Set #1
- M from Set #2
- Number of favorable outcomes = 1 (C) + 1 (M) = 2

Calculating Probability:
- Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
- Probability = 2 / 30
- Probability = 1 / 15
Therefore, the correct answer is option 'E' (1/3).
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Community Answer
There are two sets of letters, and you are going to pick exactly one l...
Picking an M is not disjoint with picking a C — they both could happen on the same round of the game. We have to use the generalized OR rule for this:
P(C or M) = P(C) + P(M) – P(C and M)
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