A target for a bomb is in the center of a circle with

Chapter 5, Problem 146SE

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QUESTION:

Problem 146SE

A target for a bomb is in the center of a circle with radius of 1 mile. A bomb falls at a randomly selected point inside that circle. If the bomb destroys everything within 1/2 mile of its landing point, what is the probability that the target is destroyed?

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QUESTION:

Problem 146SE

A target for a bomb is in the center of a circle with radius of 1 mile. A bomb falls at a randomly selected point inside that circle. If the bomb destroys everything within 1/2 mile of its landing point, what is the probability that the target is destroyed?

ANSWER:

Solution

Step 1 of 1

We have to find the probability of the target is destroyed

Let the circle has its centre with radius 1

Let Y1 and Y2 are random variables

Let (Y1 , Y2 ) be the point inside the circle

And it satisfies the inequality

Given that the bomb destroys everything within ½ mile of its landing

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