Final answer:
The probability of choosing two team sports can be calculated by dividing the number of ways to choose two team sports events by the total number of possible combinations.
Step-by-step explanation:
The probability of choosing two team sports can be calculated by dividing the number of ways to choose two team sports events by the total number of possible combinations.
The number of ways to choose two team sports events can be found using combinations. Since there are six team sports events, the number of combinations of two team sports events is C(6, 2) = 15
The total number of possible combinations can be found by adding up all the possible combinations of participating in two track events, two academic events, and two team sports events. There are C(4, 2) = 6 combinations of track events and C(2, 2) = 1 combination of academic events. Therefore, the total number of possible combinations is 6 + 1 + 15 = 22.
Therefore, the approximate probability of choosing to participate in two team sports events is 15/22, which is approximately 0.68 or 68%.