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Let P(s) is the probability of success and 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 P(s) = 8/13 put the value of P(s) is in equation (1) 8/13 - P(f) = 3/13 P(f) = 8/13 - 3/13 P(f) = 5/13

Let p(E) be the probability of getting success. 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