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?
Choices:
A) 5 / 243
B) 25 / 243
C) 64 / 243
D) 80 / 243
E) 16 / 17
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>

<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>

<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?
subtract(1, divide(const_2, const_3))
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 : d .