If (1+3p)/3 ,(1-p)/4 and (1-2p)/2 are the probabilities of mutually exclusive events, then the set of all values of p is?

hikstac0 2022-09-30 Answered
If 1 + 3 p 3 , 1 p 4 , 1 2 p 2 are the probabilities of mutually exclusive events, then the set of all values of p is?
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Answers (1)

ralharn
Answered 2022-10-01 Author has 15 answers
Since, 1 + 3 p 3 , 1 p 4 , 1 2 p 2 are the probabilities of the three events, we must have
(1) { 0 1 + 3 p 3 1 0 1 p 4 1 0 1 2 p 2 1
Since the three events are mutually exclusive, we also have,
(2) 0 1 + 3 p 3 + 1 p 4 + 1 2 p 2 1
Use both the conditions and get the common interval.
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