Line 15: | Line 15: | ||
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 not |
independent of each other when bits are biased. | independent of each other when bits are biased. |
Revision as of 14:20, 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 not independent of each other when bits are biased.