SOLUTION: I have two problems I urgently need assistance with. They are as follows: 1. A and B are independent events with P(A)=0.2 and P(B)=0.5. Calculate P(A or B). 2.

Algebra ->  Probability-and-statistics -> SOLUTION: I have two problems I urgently need assistance with. They are as follows: 1. A and B are independent events with P(A)=0.2 and P(B)=0.5. Calculate P(A or B). 2.       Log On


   



Question 983456: I have two problems I urgently need assistance with. They are as follows:
1. A and B are independent events with P(A)=0.2 and P(B)=0.5. Calculate P(A or
B).
2. Consider events A and B with P(A\B)=3/4 P(A and B)=1/2
The probability of B is?
Regards,
Caroline

Answer by Timnewman(323) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Caro!
1.since A and B are independent event,there individual probabilities must be added.
Hence,
p(A or B)=p(A)+p(B)
From your question,
p(A)=0.2
p(B)=0.5
Therefore,
p(A or B)=0.2+0.5
=0.7
2.your second qestion involves conditional probability which states that,

p%28A%2FB%29=p%28A%2AB%29%2F%28p%28B%29%29
if p(A/B)=3/4,
p%28A%2AB%29=1%2F2
p%28B%29=%281%2F2%29%2F%283%2F4%29
p%28B%29=%281%2F2%29%2A%284%2F3%29
p%28B%29=4%2F6
HOPE THIS HELPS;
------TIMNEWMAN------