Let A and B be two events such that the occurrence of A implies occurrence of B, But not vice-versa, then the correct relation between P(A) and P(B) is?
Answers
Given : A and B be two events such that the occurrence of A implies occurrence of B, But not vice-versa
To find : the correct relation between P(A) and P(B)
Solution:
A and B be two events such that the occurrence of A implies occurrence of B,
=> P(B) ≥ P(A)
as when ever A will occur B will also occur
and B can occur even when A does not occur
Hence A ⊆ B
=> n(A) ≤ n(B)
=> n(B) ≥ n(A)
=> Probability of B ≥ Probability of A
=> P(B) ≥ P(A)
or P(A) ≤ P(B)
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