Solve the geometric probability scenario that you created for question #1. Include all appropriate geometric formulas, and when applicable, leave your answer in terms of and include all necessary calculations.

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of π and include all necessary calculations."

The probability that the ball lands in the pitcher's mound is:

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-08-20T14:22:21+02:00

If the diameter of the mound is 18 feet then the probability that the ball will bounce on the pitcher's mound will be π/100.

How to find the geometric probability?

When probability is in terms of area or volume or length etc geometric amounts (when infinite points are there), we can use this definition:

E = favorable event

S = total sample space

Then:

[tex]P(E) = \dfrac{A(E)}{A(S)}[/tex]

where A(E) is the area/volume/length for event E, and similar for A(S).

The probability that the ball lands in the pitcher's mound is,

P = area of mound / area of field

P = πr² / s²

P = π (9)² / (90)²

P = π/100

Hence, the probability that the ball will bounce on the pitcher's mound will be π/100.

The complete quesiton is

"A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitcher's mound, if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of π and include all necessary calculations."

Learn more about geometric probability here:

https://brainly.com/question/24701316

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