x is chosen at random between -1 and -4, and y is chosen at random between \(-4\) and \(2\). What is the probability that the product xy is positive.
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https://web2.0calc.com/questions/probability_20758
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In that question, the answerer leads to the right answer, but they fail to consider that the numbers chosen don't have to be an integer.
For the product to be positive, we need both x and y to be negative.
X is gauarnteed to be negative, and Y has a \(2 \over 3\) chance of being negative.
Thus, the probability is \(1 \times {2 \over 3} = \color{brown}\boxed{2 \over 3}\)