The true condition about the dependent events, P(B|A) is not equal to P(B).
Dependent events in probability mean events whose occurrence of one affect the probability of occurrence of the other.
Two events are said to be dependent if the outcome or occurrence of the first affects the outcome or occurrence of the second so that the probability is changed.
Also, Two events are said to be independent if the outcome or occurrence of the first does not affect the outcome or occurrence of the second so that the probability is not changed.
For independent events: P(A and B) = P(A) x P(B).
Recall that P(B|A) = P(A and B) / P(A) = P(A) x P(B) / P(A) = P(B).
Therefore, for dependent events, P(B|A) is not equal to P(B).
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Answer:
Option E is correct
Step-by-step explanation:
E. P(B|A) ≠ P(B)
