The table shows the probabilities of winning or losing when the team is playing away or is playing at home.
(a) are the events “winning” and “playing at home” independent? explain why or why not.
(b) are the events “losing” and “playing away” independent? explain why or why not.

Based on the given data on winning and losing at home or away from home, we can conclude that:

(a) The events “winning” and “playing at home” are not independent of each other. This is because the probability of winning at home is not equal to the probability of winning away from home. (0.2 > 0.05)

(b) The events “losing” and “playing away” are not independent of each other. This is again because the probability of losing at home is not equal to the probability of losing away from home. (0.6 > 0.1)