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
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:
3. Analysis and Detail
Given:
Now, we will substitute the values into the formula:
4. Verify and Summarize
Calculating the sum:
This matches one of the answer options.
Final Answer
The probability of is 0.90, which corresponds to option A.
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