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The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches. mc020-1.jpg What is the probability that a point chosen at random is in the blue region? mc020-2.jpg mc020-3.jpg mc020-4.jpg mc020-5.jpg

User Aly Hosny
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2 Answers

3 votes

Answer:

0,9375

Explanation:

User Clausndk
by
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5 votes

the question does not present the picture, but this does not interfere with the resolution.

Reading the question it is obvious that the blue region lies inside the larger square and outside the smaller square.

The region between the two squares is the blue region.

Step 1

Find the area of both squares.

Area of larger square = 8 x 8 = 64 in²

Area of smaller square = 2 x 2 = 4 in²


Subtracting the area of smaller square from larger one, we can find the area of blue square and further we can find the said probability.

Area of blue region = 64 - 4 = 60 in²


The probability that a randomly chosen point lies within the blue region = Area of blue region/Total area available


Therefore,

the probability that a point chosen at random is in the blue region

= 60/64 -------> 0.9375

the answer is

0.9375

User Alan Millirud
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8.0k points