Question

The table below shows the probabilities of winning or losing when the team is playing away or is playing at home.

1. Are the events “winning: and playing at home” independent? Explain why or why not.
2. Are the events “losing” and “playing away” independent? Explain why or why not.
Please use the attatchment below.

Answer 1

Please read the answers below.

Explanation:

1. Are the events “winning: and playing at home” independent? Explain why or why not.

Yes, they are independent because:

A. The team wins not only at home but also playing as a visitor (0.15)

B. Playing at home, the team even loses with the same frequency than wins. (0.3 = 0.3)

2. Are the events “losing” and “playing away” independent? Explain why or why not. Please use the attachment below.

Yes, they are independent because:

A. The team loses not only playing away but also playing at home, even more (0.3 > 0.1).

B. Playing away, the team even wins more matches than loses them. (0.15 > 0.10)