Question 1135919
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The formulation is <U>THIS</U> :


<pre>
    Find probability  P(E and F)  if  P(E or F) = 0.60,  P(E) = 0.25  and  P(F) = 0.40.
</pre>


<U>Solution</U>


<pre>
There is nothing easier.


Use the general formula of the Probability Theory

    P(E or F) = P(E) + P(F) - P(E and F),

which is valid for <U>any</U> two events E and F.



From this formula, you will get

    P(E and F) = P(E) + P(F) - P(E or F),

which implies, after substituting the given data,

    P(E and F) = 0.25 + 0.40 - 0.60 = 0.65 - 0.60 = 0.05.


<U>ANSWER</U>.  P(E and F) = 0.05.
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Solved.