A random experiment has two mutually exclusive and exhaustive possible outcomes, the first occurs with probability \(\left( {{P^2} + \frac{P}{4}} \right)\) and the second occurs with probability \(\left( {\frac{{3 - P}}{4}} \right)\). Then the possible values of P are

1
\(\frac{1}{2}\)
2
\(\frac{1}{4}\)
3
\( \frac{-1}{4}\)
4
\(\frac{{ - 1}}{2}\)

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