# If the difference between the probabilityof success and failure of an event is 3/17. Find the probabilityof failure and success of this event.

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probability of failure = y

A/Q,

As we know that the sum of the probabilities of success and failure of an event is always equal to 1.

i.e, x + y = 1 ----------------(i)

Now,

x - y = 3/17 --------------(ii)

Add both the equations.

2x = 1 + 3/17

or, 2x = (17 + 3)/17 =20/17

or, x = 10/17

and y = 10/17 - 3/17 = 7/17

Therefore probability of success = x = 10/17

and probability of failure = y = 7/17