Question 1178818
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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.




<pre>
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.
</pre>

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The conclusion and a medical/mathematical &nbsp;DIAGNOSIS &nbsp;is that 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;the given post/(the problem)/(the solution by @MathLover1) 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;are all good only to throw all this stuff to the &nbsp;TRASH &nbsp;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.