Engineering Board Exam Reviewer · Mutually Exclusive and Independent Events · hard
Three independent events occur with probabilities 0.5, 0.4, and 0.2. What is the probability that exactly one of them occurs?
- 0.04
- 0.46
- 0.24
- 0.54
Answer
B. 0.46
Solution
Add the three cases: only the first: 0.5(0.6)(0.8)=0.24; only the second: 0.5(0.4)(0.8)=0.16; only the third: 0.5(0.6)(0.2)=0.06. Total =0.46.
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