manufacturer is considering 3 products(A, B, and C)that could potentially increase profits soon.

The probability that productAwill increase profits is0.4while that ofBandCare0.9and0.4respectively.

Assume these events areindependent.

Hint: Draw a probability tree/tree diagram.

Do not round calculation results.

What is the probability that

1. all3 products will increase profits?

2.none of the3 products will increase profits?

3.not all3 products will increase profits?

4.only productCwill increase profits?

5.only productsBandAwill increase profits?

6.only productAwillnotincrease profits?

7.at least oneproduct will increase profits?

8.no more than twoproducts will increase profits?

9.onlyoneproduct will increase profits?

10.productBwill not increase profitsgivenbothCandAincrease profits?