Answer:
0.9976 = 99.76% probability that he/she actually is a future terrorist
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Person identified as a future terrorist
Event B: Person is actually a future terrorist.
Probability that a person is identified as a future terrorist:
96% of
100 - 99.8 = 0.2% of
So
Probability of being identified and being a future terrorist:
100 - 99.8 = 0.2% of
What is the probability that he/she actually is a future terrorist
0.9976 = 99.76% probability that he/she actually is a future terrorist