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

Sample response: The number of squares that are shaded, divided by 25, must equal 0.2, so the number of squares must be 0.2(25), which equals 5. The decimal 0.2 is equal to 2/10, so 2 of every 10 squares must be shaded.

Explanation:

Answer 2

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

`probability = (shaded \ squares)/(total \ squares)`

Substituting the values

`0.2 = (x)/(25)`

Performing cross multiplication

`image`

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