In a certain town, the probability that a person plays sports is 65%. The probability that aperson is between the ages of 12 and 18 is 40%. The probability that a person plays sportsand is between the ages of 12 and 18 is 25%. Are the events independent? How do youknow?

the events are the same and not independent because sports is 65% which is age 12 when you compare the age 12 and 18 to 65% and 40% they sound they are the same. so since 12 is lower than 18 it still has higher percentage and since 18 is higher it has lower percentage