Final answer:
To find the probability that the 6th person asked is the 2nd person to know the answer in a group of 12 people where exactly 3 know the answer, the probability can be calculated as 1/66.
Step-by-step explanation:
To find the probability that the 6th person asked is the 2nd person to know the answer, we need to consider the number of possible outcomes.
Out of the 12 people, exactly 3 know the answer, so the probability that any individual person knows the answer is 3/12 = 1/4.
The probability that the 6th person asked is the 2nd person to know the answer can be calculated using the formula for the probability of independent events: P(A and B) = P(A) * P(B).
In this case, A represents the event of the 6th person being asked and B represents the event of the 2nd person knowing the answer. So, the probability is P(A and B) = (1/12) * (2/11) = 1/66.