When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?  Pick: A) 16/625 B) 56/625 C) 96/625 D) 126/625 E) 156/625
One case is: 1/5*1/5*4/5*4/5=16/625   The total number of possible cases is 496/6252 = 6   P(event A occurs exactly twice) = 6*(16/625) = 96/625   The answer is 96/625.
<result>C</result>
When a random experiment is conducted, the probability that event A occurs is 1/5. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?