Question

If the probability of winning a football match is 2/3 more than twice of probability of losing the match,find the probabilities of winning and losing the match.

Answer 1

p=winning a football match q=losing the match Given__ P=2q+(2/3) You know that p+q=1 2q+(2/3)+q=1 3q=1-(2/3) 3q=1/3 q=1/9 p=1-q=1-(1/9)=8/9 Hence, p=8/9 and q=1/9

Answer 2

let prbability of loosing game be x
2/3+2x+x=1
2/3+3x=1
x=1/9
probability of winning game is 1-1/9=8/9