SOLUTION: If A and B are mutually exclusive events with P(A) = 0.75, then P(B)

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Question 1197106: If A and B are mutually exclusive events with P(A) = 0.75, then P(B)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If A and B are mutually exclusive events with+P%28A%29+=+0.75, then P%28B%29+cannot be larger than 0.25.
P%28B%29+=+1+-+P%28A%29
P%28B%29+=+1-+0.75
P%28B%29+=+0.25

Answer by ikleyn(52784) About Me  (Show Source):
You can put this solution on YOUR website!
.
If A and B are mutually exclusive events with P(A) = 0.75, then P(B)
~~~~~~~~~~~~~


As the problem is worded,  there is  NO  a unique answer.

There are infinitely many possibilities for     P(B).

The only thing that we can state certainly is this inequality

            0 <= P(B) <= 0.25.


In order for to state that  P(B) = 0.25,  the problem  MUST  say in addition that
A  and  B  are mutually  COMPLEMENTARY  events - but the problem  DOES  NOT  state it.


Ignore the response by @MathLover1,  since it is  INCORRECT.