Near the end of a sports tournament, Tara and Emek learned that their team's qualification depended on two other games. Based on season statistics, Team A had probabilities 0.50 of winning, 0.30 of drawing, and 0.20 of losing its game. Team B had probabilities 0.40 of winning, 0.35 of drawing, and 0.25 of losing. Assuming the game results were independent, Tara mapped the nine possible combinations in a tree diagram. Their team would qualify if Team A lost, regardless of Team B's result, or if Team A drew and Team B did not win. The first condition had probability 0.20. For the second, Emek calculated 0.30 times (0.35 + 0.25) = 0.18. Because these cases could not occur together, they added the probabilities to get 0.38. Tara and Emek reported a 38% qualification chance, giving the coaches a clear picture before the final matches began.




