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Two fair 6-face diced are tossed independently. Let X be the random variable of the sum of two numbers on dices and let Y be the absolute difference of two numbers on dices. What is the value of P( X $\geq$ 2Y)?
a) 22/36
b) 24/36
c) 26/36
c) 28/36
d) 32/36
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$X$ is R V Sum of two number of dices. And  $Y$ R V  be the difference of two number on dices.

Only  these Pairs are not satisfying the cases $(1,4), (4,1),(1,5),(5,1), (1,6), (6,1)$

$P(X>=2Y)$  = $fav$ $ cases$ $/$ $total$   $cases $  

                              =  $30/36$

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