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GMAT Prep2?? (Prob)
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Carlo75
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x^2-(by)^2=(x-by)*(x+by) where b is a integer
among x+y; x+5y; x-y; 5x-y the only two expressions that satisfy the equation above are (x-y)*(x+y)=x^2-y^2 where b is uqual to 1.
The probability to get one between (x-y) and (x+y) at first try is 2 over 4 so 1 over 2.
The probability to get the remaining expression between (x-y) and (x+y) out of remaining three expressions is 1 over 3.
Since we want the two events happen simultaneously we have to multiply the two probability, therefore:
1/2*1/3=1/6
among x+y; x+5y; x-y; 5x-y the only two expressions that satisfy the equation above are (x-y)*(x+y)=x^2-y^2 where b is uqual to 1.
The probability to get one between (x-y) and (x+y) at first try is 2 over 4 so 1 over 2.
The probability to get the remaining expression between (x-y) and (x+y) out of remaining three expressions is 1 over 3.
Since we want the two events happen simultaneously we have to multiply the two probability, therefore:
1/2*1/3=1/6
