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.

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

[tex] probability = \frac{shaded \ squares}{total \ squares} [/tex]

Substituting the values

[tex] 0.2 = \frac{x}{25} [/tex]

Performing cross multiplication

[tex] 0.2*25=x
\\
x = 5 [/tex]

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

Answer:

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.

Step-by-step explanation:

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