# If the difference between the probability of success and failure of an event is 3/13 . find the probability of success and failure of the event .

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and the probability of failure be 'y'

By the problem,x-y=3/13---------(1)

But we already know that x+y=1-------(2)

adding (1) and (2),

x-y+x+y=3/13+1

2x=(3+13)/13

2x=16/13

x=16/26

Now substituting 'x' in (2),

8/13 + y = 1

y=1-8/13

y=(13-8)/13

Therefore,

and the

The probability of success = x

The probability of failure = y

probability of success - probability of failure = 3/13

x - y = 3/13

We know that

probability of success + probability of failure = 1

x+y = 1

2x = 1+3/13

2x = 16/13

x = 8/13

y = 1- 8/13

y = 5/13