Given that $a$ and $b$ are real numbers such that $-3\leq a\leq1$ and $-2\leq b\leq 4$, and values for $a$ and $b$ are chosen at random, what is the probability that the product $a\cdot b$ is positive? Express your answer as a common fraction.
(not positive of this)
TO be positive both a and b must be negative OR both a and b must be positive
a neg * b neg
3/4 * 2/6 = 3/12 because 3/4 of the a range is negative and 2/6 of the range of b is negative
a pos * b pos
1/4 * 2/6 = 2/12
3/12 + 2/12 = 5/12
Yay ....thanx for the feedback...it is nice to know sometimes, when doubtful of my answers, that the answer was correct !