Question

Juan wants to make a new game board that is a grid containing 25 equally sized squares. How many squares should be shaded to create a region with a geometric probability of 0.2? Explain.

Answer 1

Let the number of shaded square be x. And it is given that total number of squares are 25.

$probability = \frac{shaded \ squares}{total \ squares}$

Substituting the values

$0.2 = \frac{x}{25}$

Performing cross multiplication

$0.2*25=x \\ x = 5$

So 5 squares should be shaded to create a region with a geometric probability of 0.2 .

Answer 2

I'm pretty sure that would be 12.5