Rafael avoids riding his bike in the rain. Is biking to work independent of rain? Hint: If the rain affects Rafael's probability of biking, then the two events are not independent. Rafael avoids riding his bike in the rain. Is biking to work independent of rain? Hint: If the rain affects Rafael's probability of biking, then the two events are not independent. Yes the events are independent, and knowing if one event has happened does not help you predict if the other event is going to happen. No the events are not independent, and knowing that one event has happened helps you predict if the other event is going to happen (or not). generally about independent events: If two events are independent, then knowing about one does not help you predict if the other will happen. Thinking mechanically about independent events: If A and B or independent, then P(A given B) = P(A) For the following questions, determine if the pair of events are independent