<PRE><B>Question 1120511</B>
.
The probability that Mike has to work overtime and it rains is 0.028. Mike hears the weather forecast, 
and there is a 50% chance or rain. Find the probability that he will have to work overtime, given that is rains.
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The probability that Mike has to work overtime and it rains === the probability that he will have to work overtime, given that is rains = 0.028.



It is &amp;nbsp;&lt;U&gt;THE SAME EVENT&lt;/U&gt;, &amp;nbsp;simply described/expressed by two different ways:



&quot;Mike has to work overtime and it rains&quot;  === &quot;he will have to work overtime, given that is rains&quot;.



============


&lt;pre&gt;
    In this my post the sign  &quot;===&quot;  means  &quot;one thing is &lt;U&gt;identically equal&lt;/U&gt; to the other&quot;.
&lt;/pre&gt;


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