Final answer:
The question requires the probability of event (A ∪ C), but cannot be answered as the probability of event A and the relationship between events A and C are not provided. Additional information is needed to proceed.
Step-by-step explanation:
The question is asking to find the probability of the event (A ∪ C), however, there seems to be a typographical error as the probability of event A is not provided within the problem statement. Suppose events B and C are independent with P(B) = 1/4 and P(C) = 1/8. To find P(A ∪ C), we would typically need the values of P(A) and P(C), as well as whether events A and C are independent or not to use the formula:
P(A ∪ C) = P(A) + P(C) - P(A and C),
where P(A and C) = P(A) × P(C) if A and C are independent. However, without the value of P(A) or the independence relationship between A and C, we cannot calculate P(A ∪ C). Therefore, we need additional information to answer this question correctly.