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Question
The probability that a student will pass his examination is 0.73, the probability of the student getting a compartment is 0.13, and the probability that the student will either pass or get compartment is 0.96.
Options
True
False
Solution
This statement is False.
Explanation:
Let E be the event that the student will pass
And F be the event that he will get compartment
∴ P(E) = 0.73, P(F) = 0.13 and P(E ∪ F) = 0.96
∴ P(E ∪ F) = P(E) + P(F) – P(E ∩ F)
= 0.73 + 0.13 – 0 ......[∵ P(E ∩ F) = 0]
= 0.86
But P(E ∪ F) = 0.96
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