Question

Find the probability that a randomly

selected point within the square falls in the
red-shaded triangle.
Enter as a decimal rounded to the nearest hundredth.
Enter

Answer 1

0.13

Explanation:

You want the probability that a point in the figure lies in the red shaded area.

Probability

The desired probability is the ratio of the red area to the entire area.

Red area

The red area is half a 4×4 square, so is (4×4)/2 = 8 square units.

Total area

The area of the whole figure is that of an 8×8 square, so is (8×8) = 64 square units.

Ratio

The ratio of the areas is ...

red/whole = 8/64 = 1/8 = 0.125 ≈ 0.13

The probability that a randomly selected point falls in the red area is about 0.13.

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