An enthusiastic shopper is considering 3 products (A, B, and C) that could potentially go on sale soon. The probability that product A will go on sale is 0.4 while that of B and C are 0.5 and 0.9 respectively.

Assume these events are independent.

Hint: Draw a probability tree/tree diagram. Do not round calculation results.

What is the probability that

1. all 3 products will go on sale?
2. none of the 3 products will go on sale?
3. not all 3 products will go on sale?
4. only product A will go on sale?
5. only products C and B will go on sale?
6. only product B will not go on sale?
7. at least one product will go on sale?
8. no more than two products will go on sale?
9. only one product will go on sale?
10. product C will not go on sale given both A and B go on sale?