Final answer:
To calculate the conditional probability, we need to define two events: A - a passenger is American and B - a passenger was lost on the Lusitania. The conditional probability formula can be used to find the probability that a passenger is American given that they were lost on the Lusitania.
Step-by-step explanation:
In order to calculate the conditional probability, we need to define two events: A - a passenger is American and B - a passenger was lost on the Lusitania. The conditional probability of event A given event B can be calculated using the formula:
P(A|B) = P(A ∩ B) / P(B)
In this case, we want to calculate the probability that a passenger is American given that they were lost on the Lusitania.