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A target for a bomb is in the center of a circle with
Chapter 5, Problem 146SE(choose chapter or problem)
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?
Questions & Answers
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