When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?	Choose the most appropriate option
A) 5/243
B) 25/243
C) 64/243
D) 80/243
E) 16/17
one case is:   1/3*1/3*2/3*2/3*2/3=2^3/3^5   we have 5!/2!*3!=10 such cases   so, 2^3*10/3^5=80/243   Answer: 80/243.
<result>D</result>
When a random experiment is conducted, the probability that event A occurs is 1/3. If the random experiment is conducted 5 independent times, what is the probability that event A occurs exactly twice?