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Garrett throws a dart at a circular dartboard. The dartboard has a radius of 18 inches, and the bull’s eye in the center of the dartboard has a radius of 4 inches. What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye? Round your answer to the nearest tenth, if necessary.
A. 20.3%
B. 4.9%
C. 22.2%
D. 4.5%

Respuesta :

Answer:option b. 4.9%

Explanation:

1) The probability that a dart thrown at random within the dart board will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye / aera of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)²

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probaility is:

 π (4 in)²           4²

--------------- = ------- = 0.0494

π (18 in)²         18²

kapoorprachi783

The correct answer is option B)4.9

What is the probability that a dart thrown at random within the dartboard will hit the bull’s eye?

1) The probability that a dart is thrown at random within the dartboard will hit the bull's eye is equal to the ratio of the areas:

probability = area of the bull's eye/area of the dart board.

2) Area of the dart board = π × (radius)² = π × (18 in)

3) Area of the bull's eye = π × (radius)² = π × (4 in)²

4) So, the probability is:

π (4 in)²  / π (18 in)²   =    4² /   18²   = 0.0494

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are.

Learn more about Probability here: brainly.com/question/251701

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