+168 1. 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.
+129852 (a) If independent
P(winning and playing at home) = P(winning) * P(playing at home) ????
0.2 = 0.25 * 0.8 ????
0.2 = 0.2
So....they are independent
(b)
P ( losing and playing away) = P (losing ) * P (playing away) ????
0.1 = 0.7 * 0.15 ????
0.1 = 0.105
So....not independent
