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A and B are mutually exclusive events. P(A) = 0.60 and P(B) = 0.30. What is P(A or B)?A.0.90B.0.15C.0.18D.0.72

Question

A and B are mutually exclusive events.

P(A) = 0.60 and P(B) = 0.30. What is P(A or B)?
A. 0.90
B. 0.15
C. 0.18
D. 0.72

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Solution

1. Break Down the Problem

We need to find the probability of either event A or event B occurring, given that they are mutually exclusive events. This means that they cannot occur at the same time.

2. Relevant Concepts

For mutually exclusive events, the probability of either event A or event B occurring can be calculated using the formula: P(A or B)=P(A)+P(B) P(A \text{ or } B) = P(A) + P(B)

3. Analysis and Detail

Given:

  • P(A)=0.60 P(A) = 0.60
  • P(B)=0.30 P(B) = 0.30

Now, we will substitute the values into the formula: P(A or B)=P(A)+P(B)=0.60+0.30 P(A \text{ or } B) = P(A) + P(B) = 0.60 + 0.30

4. Verify and Summarize

Calculating the sum: P(A or B)=0.90 P(A \text{ or } B) = 0.90

This matches one of the answer options.

Final Answer

The probability of P(A or B) P(A \text{ or } B) is 0.90, which corresponds to option A.

This problem has been solved

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