A soccer team plays matches.

-- If in a previous match it won, it has a 0.6 chance to win in the next match (if it failed, the chances to win in the next match are 0.51).

-- If in a match before the previous one it had won, the chances of winning next time are 0.55, but if it had failed, the chances of winning are 0.49.

So the outcome of the next match is statistically dependant on two past events, and the outcome of a previous match depends on the match before too, respectively.

If the team have won both previous matches, what are the chances it will win the next time?

Could you please indicate possible way of solving this problem?

Alexey