#### boydoineedhelp

##### New member

- Joined
- Oct 25, 2009

- Messages
- 5

A, B, and C are events of a probability experiment. Given that

P(A)=0.25, P(B)=0.75, P(C)=.35

determine the following:

**a. P(A or B) if P(A and B) = 0.27**

P(A or B) = P(A) + P(B) - P(A and B)

= .25 + .75 - .27

= .73

**b. P(A or C) if A and C are mutually exclusive**

P(A) + P(C)

P(.25) + P(.35)

= .6

**c. P(B and C) if P(B or C) = 0.15**

.15 - .75 + .35

= -.4

**d. P(C[sup:ryo85qwa]c[/sup:ryo85qwa])**

P(C[sup:ryo85qwa]c[/sup:ryo85qwa]) = 1 - P(C)= 1 - .35

= .65

**e. P(A and C) if A and C are independent.**

P(A) . P(C)

P(.25) . P(.35)

= .088