. In Exercise 15, is any Ai independent of any other Aj? Answer using the multiplication property for independent events.   . If A and B are independent events, show that A0 and B are also...

. In Exercise 15, is any Ai independent of any other Aj? Answer using the multiplication property

for independent events.

. If A and B are independent events, show that A0 and B are also independent. [Hint: First use a

Venn diagram to establish a relationship among P(A0 \ B), P(B), and P(A \ B).]