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	0.2	0.05	0.25
Loss	0.6	0.1	0.7
Total	0.8	0.15	1.00

 

(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.