2. The table shows the probabilities of winning or losing when the team is playing away or is playing at home. Home Away Total
Win 0.51 0.34 0.85
Loss 0.09 0.06 0.15
Total 0.6 0.4 1.00

(a) Are the events “winning” and “playing at home” independent? Show your calculations to justify why or why not.
(b) Are the events “losing” and “playing away” independent? Show your calculations to justify why or why not.