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If the probability of event C is 0.2 and the probability of event D is 0.3, what

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Question: If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?

Options:

  1. 0.5
  2. 0.6
  3. 0.3
  4. 0.2

Correct Answer: 0.6

Solution: 

For mutually exclusive events, P(C or D) = P(C) + P(D) = 0.2 + 0.3 = 0.5.

If the probability of event C is 0.2 and the probability of event D is 0.3, what

Practice Questions

Q1
If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?
  1. 0.5
  2. 0.6
  3. 0.3
  4. 0.2

Questions & Step-by-Step Solutions

If the probability of event C is 0.2 and the probability of event D is 0.3, what is the probability of either C or D occurring if they are mutually exclusive?
  • Step 1: Understand what mutually exclusive means. It means that event C and event D cannot happen at the same time.
  • Step 2: Know the probabilities given in the question. The probability of event C is 0.2 and the probability of event D is 0.3.
  • Step 3: Use the formula for mutually exclusive events. The formula is P(C or D) = P(C) + P(D).
  • Step 4: Substitute the values into the formula. So, P(C or D) = 0.2 + 0.3.
  • Step 5: Calculate the sum. 0.2 + 0.3 equals 0.5.
  • Step 6: Conclude that the probability of either event C or event D occurring is 0.5.
  • Mutually Exclusive Events – Events that cannot occur at the same time; the probability of either event occurring is the sum of their individual probabilities.
  • Probability Addition Rule – For mutually exclusive events, the probability of either event occurring is calculated by adding their individual probabilities.
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