Given that and are real numbers such that and , and values for and are chosen at random, what is the probability that the product is positive? Express your answer as a common fraction.
+68 Hi Guest,
I will try to solve this.
{CORRECTION}: I did not read that it wanted product
A is between -3, and 1
So the possibilities are -3, -2, -1, 0, 1
B is between -2 and 4
So the possibilities are -2, -1, 0, 1, 2, 3, 4
Not counting zero, A has 3 negative, B has 2 negative
Not counting zero, A has 2 positive, B has 4 positive
A and B must both be negative, or positive
A negative possibiliteis * B negative possibilities = 3/4 * 2/6 = 6/24 = 1/4
A positive possibilities * B positive possibilities = 1/4 * 4/6 = 4/24 = 1/6
1/4 + 1/6 = 3/12 + 2/12 = 5/12
