70 percent of the people in each of the 3 rooms are seniors at university A. If one person is selected at random from each of the 3 rooms, find the probability that each of the 3 people selected is a senior at university A.
A
0.2401
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B
0.343
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C
0.49
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D
0.64
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E
0.7
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Solution
The correct option is B0.343 Given that: 70 percent in each of three rooms are seniors in university A Therefore probability of selecting a person from each room such that he is senior is 0.7 Therefore probability that each of the 3 people selected is a senior at university A is 0.7×0.7×0.7=0.343.