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  • State whether the statements are True or False 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

State whether the statements are True or False

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.

Answers (1)

Let us consider that,

A → event that student pass examination

B → event that student get compartment

We have,

P (A) = 0.73

P (B) = 0.13

& P (A U B) = 0.96

To find: P (A ∩ B)

Now, P (A U B) = P (A) + P (B) – P (A ∩ B)        ……. (by general addition rule)

P (A U B) = 0.73 + 0.13 – 0

            = 0.86

but given P (A U B)  = 0.96

Thus, the given statement is False.

Posted by

infoexpert22

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