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P(A=1) = p P(B=1) = p | P(A=1) = p P(B=1) = p | ||
| − | P(A=0) = 1-p P(B=0) = 1-p | + | |
| + | P(A=0) = 1-p P(B=0) = 1-p | ||
P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1) | P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1) | ||
| − | P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2) | + | |
| + | P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2) | ||
Since, (1) & (2) are not equal to each other, A & C are | Since, (1) & (2) are not equal to each other, A & C are | ||
independent of each other when bits are biased. | independent of each other when bits are biased. | ||
Revision as of 14:19, 16 September 2008
A B
P(A=1) = p P(B=1) = p
P(A=0) = 1-p P(B=0) = 1-p
P(A=1,C=1) = P(A=1) . P(C=1) = p.P(A=1,B=0) = p^2.(1-p) (1)
P(A=1,B=0) = P(A=1) . P(B=0) = p.(1-p) (2)
Since, (1) & (2) are not equal to each other, A & C are independent of each other when bits are biased.
