When a random experiment is conducted, the probability that event A occurs is 1/4. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?	Choose the most appropriate option.
A) 14/65
B) 27/128
C) 33/140
D) 37/165
E) 41/187
One case is: 1/4*1/4*3/4*3/4=9/256   The total number of possible cases is 4C2 = 6   P(event A occurs exactly twice) = 6*(9/256) = 27/128   The answer is 27/128.
<result>B</result>
When a random experiment is conducted, the probability that event A occurs is 1/4. If the random experiment is conducted 4 independent times, what is the probability that event A occurs exactly twice?