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# If P(A) = 0.72, what is P(A')?

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If P(A) = 0.72, what is P(A')?

Guest Oct 22, 2014

#1
+17705
+10

A' is the complement of A; which means that if A is true, A' is false, and if A is false, A' is true.

A and A' cover all possibilities, with no overlap.

Thus P(A) + P(A') = 1.00.

So if P(A) = 0.72, P(A') = 1.00 - P(A) = 1.00 - 0.72 = 0.28.

geno3141  Oct 22, 2014
Sort:

#1
+17705
+10

A' is the complement of A; which means that if A is true, A' is false, and if A is false, A' is true.

A and A' cover all possibilities, with no overlap.

Thus P(A) + P(A') = 1.00.

So if P(A) = 0.72, P(A') = 1.00 - P(A) = 1.00 - 0.72 = 0.28.

geno3141  Oct 22, 2014
#2
+91412
0

thanks Geno, I haven't seen that notation.

This is the notation that I know as the complement of A

$$P(\bar A)$$

Melody  Oct 22, 2014

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