what is a mutually exclusive event?
how is it different from an independent event?
explain with examples.thanks.

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Solution

$T w o e v e n t s a r e s a i d t o b e m u t u a l l y e x c l u s i v e i f t h e y d o n t h a v e a n y \sin g l e e l e m e n t i n c o m m o n w h e r e a s w h e n t w o e v e n t s d o n o t d e p e n d o n e a c h o t h e r' s o c c u r r e n c e, t h e y a r e s a i d t o b e i n d e p e n d e n t e v e n t s E x . S u p p o s e A = G e t t i n g a n e v e n n u m b e r o n r o l l i n g a d i c e B = S e l e c t i n g a b o y o u t o f a c l a s s o f 50 b o y s C = G e t t i n g h e a d o n t o s \sin g a c o i n a f t e r a n e v e n n u m b e r c o m e s o n r o l l i n g a d i c e H e r e A a n d B a r e m u t u a l l y e x c l u s i v e w h e r e a s A a n d C a r e d e p e n d e n t, a s l o B a n d C a r e i n d e p e n d e n t e v e n t s$

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