Answer: 8/9
Step-by-step explanation:
Taking the probability as
AA = 4/9 AB = 2/9 BA = 2/9 BB = 1/9
These spaces AA,AB,BA,BB is indicates who wins each game.
There is a 2/3 probability that A will win any particular game.
But considering that these events are independent events, the probability that A wins both games is 2/3 and 2/3 which equals to 4/9.
Therefore the probability that A wins at least one match would be 1 − P(BB).
And this gives 1 - (1/9) =
8/9
