The product of the probabilities of happening of an event E and non-happening of an event is 6/ 25. Find the probability of happening of the event E.
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Let 'p' denote the probability of happening of an event.
and 'q' denote the probability of not happening of an event.
we are given p×q=
also we know that q=1-p
p×(1-p)=
this means that
on solving the following quadratic equation:
Hence, on solving using the quadratic formula
(
That for any general quadratic equation of the type:
the solution is given as:
)
so, the value of p is:
so, the possibility of happening of an event is either
or
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