A game at the state fair has a circular target with a radius of 12 centimeters on a square board measuring 30 centimeters a side, as shown. Players win if they are able to throw a dart and hit the circular area only. r= 12 cm %3D a. What is the probability that a dart will hit the circular region? 30 cm b. What is the probability that a dart will hit the square region that is outside the circle? c. In order for a player to win a prize, that player must hit the circular region with 3 consecutive darts (darts removed after each toss). What is the probability of a player winning a prize? Round answers to 4 decimal places a.) b.) c.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A game at the state fair has a circular target
with a radius of 12 centimeters on a square
board measuring 30 centimeters a side, as
shown. Players win if they are able to throw
a dart and hit the circular area only.
r = 12 cm
a. What is the probability that a dart will
hit the circular region?
30 сm
b. What is the probability that a dart will
hit the square region that is outside the circle?
c. In order for a player to win a prize, that player must hit the circular region
with 3 consecutive darts (darts removed after each toss). What is the
probability of a player winning a prize?
Round answers to 4 decimal places
a.)
b.)
Transcribed Image Text:A game at the state fair has a circular target with a radius of 12 centimeters on a square board measuring 30 centimeters a side, as shown. Players win if they are able to throw a dart and hit the circular area only. r = 12 cm a. What is the probability that a dart will hit the circular region? 30 сm b. What is the probability that a dart will hit the square region that is outside the circle? c. In order for a player to win a prize, that player must hit the circular region with 3 consecutive darts (darts removed after each toss). What is the probability of a player winning a prize? Round answers to 4 decimal places a.) b.)
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