This table shows the high schools in a metro district and whether they offer hockey and golf.

A high school is chosen at random from this list.

Let event A = The high school has a hockey team.

Let event B = The high school has a golf team.

A: Which high schools offer both hockey and golf? I have lincoln, West Pine and North river. What is P(A∩B) -- i have .42

B: Which high schools offer hockey or golf or both? i have East Valley, Lincoln, West Pine, Adams and North River. What is P(A∪B)? i have .71

Hoping someone can check these answers. If wrong, explain why.