PLSSS HELLLPPPPPPP :')

First some basics. If you multiply a positive number by a positive number, the product will be positive. If you multiply a negative number by a negative number, the product will be positive. If you multiply a positive number by a negative number, the product will be negative.

So to solve this problem we split it into two subproblems.

In the first subproblem we examine only what happens if the first tile has a positive number. The chance of this happening is [tex]\frac{1}{4}[/tex] since there's only one out of four tiles that has a positive number. For the product to be positive, the second tile also has to be positive which only has a probability [tex]\frac{1}{4}[/tex] of happening. The probability for both tiles to be positive is thus [tex]\frac{1}{4} * \frac{1}{4} = \frac{1}{16}[/tex].

In the second subproblem we examine only what happens if the first tile has a negative number. The chance of this happening is [tex]\frac{3}{4}[/tex] since there's three out of four tiles that has a negative number. For the product to be positive, the second tile also has to be negative which has a probability [tex]\frac{3}{4}[/tex] of happening. The probability for both tiles to be negative is thus [tex]\frac{3}{4} * \frac{3}{4} = \frac{9}{16}[/tex]

To find the solution to the whole problem we simple add these two probabilities [tex]\frac{1}{16} + \frac{9}{16} = \frac{10}{16} = \frac{5}{8}[/tex]