Suppose you have events A, B, and C with probabilities:

P(A)= 0.4, P(B)= 0.2, P(C)= 0.3.

A and B are independent,

A and C are mutually exclusive, and

P (B ? C) = 0.15

1.P(A?B) =?

2.P (A U B) =?

3.P (B U C^{') =}?

4.P(B|C) =?

5.P (A U C^{') =}?

6.P (A^'U C^{') =}?

Suppose we have events A, B, and C with probabilities; P(A) = 0.4, P(B) = 0.2, P (C) = 0.3. We also know that: . A and B are independent. . A and Care mutually exclusive, and . P(BnC) = 0.15 Compute each of the following. Write your answers as decimals. 1. P(An B) = 2. P( AU B) = 3. P(BUC) = 4. P(B | C) = 5. P( AUC) = 6. P(A' UC) =