Question 1167040
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<pre>

P(H|G) = 0.6 means that  the ratio  P(H &#8745; G) / P(G) = 0.6  (by the definition of conditional probability).


Substitute here the given data, and you will get

    P(H &#8745; G) / 0.5 = 0.6.


It implies  P(H &#8745; G) = 0.5*0.6 = 0.3.



Finally, use the general probability formula for the union

    P(H OR G) = P(H) + P(G) - P(H &#8745; G),

which is valid for any events H and G.


Substitute all given and found values into this formula, and you will get

    P(H OR G) = 0.3 + 0.5 - 0.3 = 0.5.
</pre>

Solved and explained in all details.


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In this site, there are two lessons for problems on <U>conditional probability</U>.  They are

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Conditional-probability-problems.lesson>Conditional probability problems</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/More-conditional-probability-problems.lesson>Conditional probability problems REVISITED</A> 


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-II in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-II - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic &nbsp;"<U>Solved problems on Probability</U>" 
and &nbsp;"<U>Additional problems on Probability</U>". 



Save the link to this textbook together with its description


Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson


into your archive and use when it is needed.