Question

Find the probability that a randomly

selected point within the square falls in the
red-shaded area.
First, find the area of the red-shaded region.
4
4
5
5
Shaded Area
Ashaded = [?]

Answer 1

Answer: 8

Explanation:

A= (ab) sin y/2= 4•4•sin(90°)/2=8

Answer 2

• Ashaded = 8 square units
• Awhite = 25 square units
• P(red) = 8/25 = 0.32

Explanation:

You want the probability a random point is in the red shaded area.

Shaded area

The red area is the area of a triangle with base 4 and height 4. Its area is ...

A = 1/2bh

A = 1/2(4)(4) = 8 . . . . square units

White area

The area of the white square (including the shaded area) is ...

A = s²

A = 5² = 25 . . . . square units

Probability

The probability a point is red is the ratio of the red area to the total area:

P(red) = 8/25 = 0.32

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