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Question

Is there a way to do this in terms of area in a coordinate plane. Where difference of larger and smaller can be difference in x coordinate for 1st player and difference in y coordinate for 2nd player

Joshi sir comment

$P r o b a b i l i t y t o g e t f o l l o w i n g d i f f e r e n c e s d i f f e r e n c e p r o b a b i l i t y 0 6 / 36 1 10 / 36 2 8 / 36 3 6 / 36 4 4 / 36 5 2 / 36 S o r e q u i r e d p r o b a b i l i t y = 1 - 2 [\frac{6}{36} (\frac{4}{36} + \frac{2}{36}) + \frac{10}{36} (\frac{2}{36})] n o w s o l v e p r o b l e m i s b a s e d o n i n t e g r a l v a l u e s s o a r e a i s n o t v e r y u s e f u l$

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