Question 1178818: If p(a)= .6, p(b)= .22, and p(a and b)= .31 . Find p(a and b)
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source):
Answer by ikleyn(52852)  (Show Source):
You can put this solution on YOUR website! .
If p(a)= .6, p(b)= .22, and p(a and b)= .31 . Find p(a and b)
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This post has SEVERAL FATAL ERRORS, that make it FATALLY NONSENSICAL.
First error is that p(a and b) is given, "p(a and b)= .31.", and then the problem asks again about the value of p(a and b).
@MathLover1 sees it and makes an assumption that the problem should ask about p(a or b).
But it is not possible to have p(a) = 0.6, p(b) = 0.22 and p(a and b) = 0.31:
+------------------------------------------------------------------+
| with given p(a) and p(b), p(a and b) MUST BE less or equal |
| the minimum of both values p(a) = 0.6 and p(b) = 0.22. |
+------------------------------------------------------------------+
It is the second fatal error of the post and of the @MathLover1 solution.
THERFORE
NEITHER the given data in the post makes sense
NOR the "solution" by @MathLover1 makes sense.
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The conclusion and a medical/mathematical DIAGNOSIS is that
the given post/(the problem)/(the solution by @MathLover1)
are all good only to throw all this stuff to the TRASH BIN.
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Another conclusion and the diagnosis is that both the problem's composer and @Matlover1 are unfamiliar
with elementary basic properties of probabilities.
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