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A, B are two events and bar(A) denotes t...

A, B are two events and `bar(A)` denotes the complements of A. Consider the following statements
1. `P(A uu B) le P(B) + P(A)`
2. `P(A) + P(bar(A) uu B) le 1 + P(B)`
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
(1) `P(A uu B) le P(A) + P(B)` is correct
and (2) `P(A) + P(bar(A) uu B) le 1 + P(B)` is also correct
`rArr` Both the given statement are correct.
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