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It really depends on how you view the question,but i guess its a pretty vague question.Either way,i just showed you the correct way the came into my mind,which turned out to be right.Not wearing Black Trouser OR Red Shirt.
They mentioned OR. Which means we have to eliminate the options in which he wears either a black trouser or a red shirt i.e that in which he wears a black trouser and a yellow shirt, and the one in which he wears a grey trouser and red shirt. The Black and Red can't be together as they mentioned in the question ''OR''. ._.
If they had said ''the probability of wearing NEITHER a Black trouser NOR a red shirt''.. then the logical option would be Grey Trouser and Yellow Shirt, since both Black AND Red are not to be included.
But they mentioned in the question ''EITHER and OR''..
Either means ONE OF THE TWO.
So the probability of wearing EITHER BLACK or RED SHIRT.. (Can't be both, since they used the words ''Either'' and ''Or'')
The following: BY, GR.. (Not BR, since they didn't say Black AND RED)
And the question said ''Probability of NOT wearing Either black or red''..
So, 1 - (probability of BY, GR)...
This should be right :/