Question 1176431
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<pre>

Of the total 36 possible outcomes, there are 3 (three) outcomes to get the sum of 4,


and there are 5 outcomes to get the sum of 6.


The probability to win is,  THEREFORE,  {{{(3+5)/36}}} = {{{8/36}}} = {{{2/9}}}.


Expected value of the game is  {{{5*(2/9) - 3}}} = -1.89 dollars per game.


It means that statistically, you lose 1.89 at each game, in average.
</pre>

Solved, answered, explained and completed.


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If you want to learn this subject and this class of problems &nbsp;BETTER, &nbsp;DEEPER &nbsp;and &nbsp;WIDER, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Rolling-a-pair-of-fair-dice.lesson>Rolling a pair of fair dice</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Probability-and-statistics/Math-expectation-of-winning-in-games-with-rolling-pair-of-dice.lesson>Math expectation of winning in games with rolling pair of dice</A> 

in this site. &nbsp;You will find there many other similar solved problems.


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 lesson is the part of this online textbook under the topic &nbsp;"<U>Solved 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.