Exactly 70 percent of the people in each of 3 rooms are seniors at university X. If one person is selected at random from each of the the 3 rooms, what is the probability that each of the 3 peple selected is a senior at university X ?

Options

A. `0.2401`
B. `0.343`
C. `0.49`
D. `0.64`

Answer

B

Explanation

When two or more events are indepent, the probability that all the events occur is equal to the product of the probabilities that each event occurs. The decimal equivalent of 70% is 0.7. In this question, the probability that a person selected at random from each room is a senior at university X is 0.7. So the probability that each of the 3 people selected is a senior at university X is `(0.7)(0.7)(0.7)=0.343`.