When a random experiment is conducted, the probability that event A occurs is 1/6. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?
Choose one:
A) 17/216  B) 19/216  C) 23/216  D) 25/216  E) 35/216
One case is: 1/6*1/6*5/6*5/6=25/1296   The total number of possible cases is 4C2 = 6   P(event A occurs exactly twice) = 6*(25/1296) = 25/216   The answer is 25/216.
<result>D</result>
When a random experiment is conducted, the probability that event A occurs is 1/6. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?