Question

Mike Tyson was victorious in 89.3% of fights during his professional boxing career (not counting 2 no contests). He had won 88% of fights by KO and lost 83.3% of fights by KO. (a) Calculate the proportion of his fights that ended with KO. (b) If a fight had ended with KO, what is the probability that Mike Tyson was victorious in it?

Answer 1

a) P(W) = 0.893

P(L) = 1 - 0.893 = 0.107

P(KO | W) = 0.88

P(KO | L) = 0.833

SO, P(KO) = 0.893 * 0.88 + 0.107*0.833

P(KO) = 0.874971

Hence 87.5% (approx) of his fights ended with KO.

P(Wn KO) 0.893 0.88 b) Р(WIKO) - 0.8981 Р(КО) 0.874971

Please comment if any doubt. Thank you.