Final answer:
The events A and B are dependent. the events A and B are dependent. Dependent events indicate that the occurrence of one event affects the probability of the other event happening.
Explanation:
The probability of events A and B occurring together is 1/7. However, to determine if events A and B are independent, we need to verify if the probability of A intersecting with B (P(A ∩ B)) equals the product of the probabilities of A and B independently (P(A) * P(B)).
Here, P(A) = 3/5 and P(B) = 2/7. If events were independent, P(A) * P(B) should be equal to P(A ∩ B). However, when we calculate P(A) * P(B) = (3/5) * (2/7) = 6/35, and this doesn't equal the given P(A ∩ B) = 1/7.
Thus, the events A and B are dependent. Dependent events indicate that the occurrence of one event affects the probability of the other event happening.