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topjm [15]
3 years ago
6

What is the probability that a coin randomly tossed into the rectangular fountain does not land on one of the square "islands"?

The "islands" are all the same size. Give your answer as a percent rounded to the nearest tenth.

Advanced Placement (AP)
1 answer:
SashulF [63]3 years ago
6 0

Answer:

Probability of coin not land on island = 38.25 / 45

Explanation:

Given:

Length of rectangular fountain = 9 ft

Width of rectangular fountain = 5 ft

Side of square island = 1.5 ft

Number of island = 3

Find:

Probability of coin not land on island

Computation:

Area of fountain = 9 x 5

Area of fountain = 45 ft²

Area of three island = 3[Side²]

Area of three island = 3[1.5²]

Area of three island = 6.75 ft²

Probability of coin not land on island = [Area of fountain - Area of three island] / Area of fountain

Probability of coin not land on island = [45 - 6.75] / 45

Probability of coin not land on island = 38.25 / 45

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