Brie designed a carnival game that involves tossing a beanbag into the box shown. In order to win a prize, the beanbag must fall inside the black rectangle. Find the probability of winning in a simplified form.

Hint:

In this question, we have to find the probability of winning in a simplified form, if Brie designed a carnival game that involves tossing a beanbag into the box shown and in order to win a prize, the beanbag must fall inside the black rectangle. As the length and breadth of black rectangle is x/2 and x and the length and breadth of the bigger box is (x+1) and 3x. Now we can easily the probability of winning i.e., the rato of area of black rectangle by total area of face of box.