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thisischris said:At the bottom of the page (example 2) for question c) P(B|A').
They say P(B n A') = 0.2. But surely it is (B while not A) which in my mind should be 0.15.
Can somebody tell why it is 0.2?
Conditional probability is the likelihood of an event occurring given that another event has already occurred. It is calculated by dividing the probability of the two events occurring together by the probability of the first event occurring.
Conditional probability is represented using the notation P(A|B), which reads as "the probability of event A given that event B has already occurred." It is calculated using the formula P(A|B) = P(A ∩ B) / P(B), where P(A ∩ B) is the probability of both events A and B occurring together and P(B) is the probability of event B occurring.
Conditional probability refers to the likelihood of an event occurring given that another event has already occurred, while joint probability refers to the likelihood of two events occurring together. Conditional probability is calculated using the formula P(A|B), while joint probability is calculated using the formula P(A ∩ B).
Conditional probability is used in many fields, including science, economics, and medicine. It can be used to predict the outcomes of experiments, determine the likelihood of a disease given certain symptoms, and make decisions based on past events.
One common misconception is that the probability of two independent events occurring together is always equal to the product of their individual probabilities. However, this is only true if the events are truly independent. Another misconception is that P(A|B) and P(B|A) are always equal, but this is only true in certain cases, such as when A and B are independent events.