Math Problem Statement

Two friends (say 'A' and 'B') could not decide whether to play a racing game or a boxing game on Xbox. They decide to play a card-game first. If 'A' wins at least 4 rounds out of the 7 rounds of the card game played, then the boxing game will be played. The chances of 'A' winning in any round of the card game is 2:7. Find the probability that the boxing game will be played on Xbox? (Enter the answer correct to 2 decimal places)

Solution