Let P(E) denote the probability of the occurrence of event E. If P(A) = 0.5…
2013
Let P(E) denote the probability of the occurrence of event E. If P(A) = 0.5 and P(B) = 1, then the values of P(A/B) and P(B/A) respectively are
- A.
0.5, 0.25
- B.
0.25, 0.5
- C.
0.5, 1
- D.
1, 0.5
Attempted by 8 students.
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Correct answer: C
Given P(A) = 0.5 and P(B) = 1.
Since P(B) = 1, B is a sure event, implying A ⊆ B and P(A ∩ B) = P(A).
P(A|B) = P(A ∩ B)/P(B) = 0.5/1 = 0.5.
P(B|A) = P(A ∩ B)/P(A) = 0.5/0.5 = 1.