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There are two sets of letters, and you are going to pick exactly one letter from each set.



Event A  = {A, B, C, D, E}



Event B= {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?
Verified 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)
Fortunately, we know the first two, and we calculated the value of the third term already in #1.
P(C or M) = P(C) + P(M) – P(C and M)

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Most Upvoted Answer
There are two sets of letters, and you are going to pick exactly one l...

Probability of picking a C or an M


  1. Understanding the question: In this question, we are asked to find the probability of picking a letter that is either 'C' or 'M' from a set of 30 letters.


  2. Total number of favorable outcomes: Out of the 30 letters, we have 2 letters that meet the criteria - 'C' and 'M'.


  3. Calculating the probability: To find the probability, we need to divide the number of favorable outcomes by the total number of possible outcomes. Therefore, the probability of picking a 'C' or an 'M' can be calculated as follows:


  4. Probability = (Number of favorable outcomes) / (Total number of outcomes) = 2 / 30 = 1/15


  5. Final answer: Therefore, the correct probability of picking a 'C' or an 'M' is 1/15, which corresponds to option 'E'.



This explanation breaks down the question into key points and provides a clear understanding of how to calculate the probability of picking a 'C' or an 'M'.
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There are two sets of letters, and you are going to pick exactly one letter from each set.Event A = {A, B, C, D, E}Event B= {K, L, M, N, O, P}What is the probability of picking a C or an M?a)1/30b)1/15c)1/6d)1/5e)1/3Correct answer is option 'E'. Can you explain this answer?
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