The document presents a probability problem regarding events A and B, indicating their probabilities: P(A) = 0.5, P(B) = 0.4, and P(A and B) = 0.2. It poses a question about the independence of events A and B, with options for responses. The probability values suggest that A and B are not independent.

1. Provide an appropriate response. Express your answer as a simplified fraction unless otherwise
noted. Given events A and B with probabilities P ( A ) = 0.5 , P ( B ) = 0.4 , and P ( A and B ) =
0.2 , are A and B independent? cannot be determined b no yes