Here's how to calculate the probability:
* Show duration: 30 minutes (10:30 - 10:00)
* You tune in at: 14 minutes into the show
* Time remaining: 16 minutes (30 - 14)
Since the score is announced randomly, the probability of not missing the report is directly proportional to the amount of time remaining in the show.
Probability of not missing the report: (Time remaining) / (Total show duration) = 16/30 = 8/15 ≈ 0.533
Therefore, the probability that you haven't missed the report about your favorite team is approximately 0.533 or about a 53% chance.