# If the difference between 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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by arshadraza

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by arshadraza

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The Brainliest Answer!

P(f) is probability of failure.

given

P(s) - P(f) = 3/13 -----------------------(1)

we know

P(s) + P(f) = 1 -----------------------(2)

add equation (1) and (2)

2P(s) = 1 + 3/13

2P(s) = 16/13

put the value of P(s) is in equation (1)

8/13 - P(f) = 3/13

P(f) = 8/13 - 3/13

let p(notE) be the probability of getting failure.

given that,

p(E) - p(notE) = 3/13 ⇒1

we know that

p(E)+ p(notE) = 1

2p(E)=1+(1/3)

2p(E) =16/13

p(E)=8/13

substitute p(E)in EQ 1

8/13-p(notE) = 3/13

p(notE)=8/13-3/13

p(notE)=5/13

⇒probability of getting success is 8/13

⇒probability of getting failure is 5/13