1) Given P(A) = 0.3 and P(B) = 0.5, do the following. (a) If A and B are mutually exclusive events, compute P(A or B).
(b) If P(A and B) = 0.2, compute P(A or B).
2) Given P(A) = 0.4 and P(B) = 0.2, do the following.
(a) If A and B are independent events, compute P(A and B).
(b) If P(A | B) = 0.7, compute P(A and B).

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

and

Let us learn about a formula:

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

= = 0

Using above formula:

(b)  P(A and B) = 0.2

Using above formula:

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1) Given

and

Let us learn about a formula:

 for dependent events

for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

(b)  

Using above formula: