AnswersMath Models AUnderstanding Probability

Geometric Probability Answers

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A point is randomly chosen in the diagram shown below. What is the likelihood that a point chosen inside the square will also be inside the circle?

Question illustration
A
It is certain.
B
It is impossible.
C
It is likely.
D
It is unlikely.
2
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Trisha has a game board as shown below, which is a square that has a total area of 400 square inches. The area of the large circle is 314 square inches.What is the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square? Round decimals to two decimal places.

Question illustration
A
0.22
B
0.25
C
0.79
D
0.82
3

What is the probability that a point chosen at random in the triangle is also in the blue square?

Question illustration
A
StartFraction 1 over 6 EndFraction
Option A
B
One-third
Option B
C
One-half
Option C
D
1
4

Clarissa and her friends are playing a game by throwing sticky darts onto the board shown below.What is the likelihood of a sticky dart landing in the green section of the board, assuming that the sticky dart lands on the board?

Question illustration
A
It is certain.
B
It is impossible.
C
It is likely.
D
It is unlikely.
5

Jared is playing a game on a grid that is made up of 25 equally sized squares. Some of the squares are shaded. If the probability of picking a point at random in one of the shaded squares is exactly 0.16, how many of the squares are shaded?

A
2
B
4
C
16
D
21
7

A dart is thrown at random into the circle below. What is the likelihood that the dart will land in the blue region?

Question illustration
A
It is certain.
B
It is impossible.
C
It is likely.
D
It is unlikely.
8

The large square below has a side length of 8 inches, and the smaller white square inside the large square has a side length of 2 inches.What is the probability that a point chosen at random is in the blue region?

Question illustration
A
StartFraction 1 over 16 EndFraction
Option A
B
StartFraction 1 over 15 EndFraction
Option B
C
StartFraction 15 over 17 EndFraction
Option C
D
StartFraction 15 over 16 EndFraction
Option D
9

Simon designed the game below, which is played by throwing one dart onto the board.Which probability would be least likely when throwing one dart, assuming that the dart will land on the board?

Question illustration
A
scoring exactly 20
B
scoring 15 or greater
C
scoring 10 or greater
D
scoring 5 or greater
10

What is the probability that a randomly chosen point on the grid below is in the blue area?

Question illustration
A
Three-fifths
Option A
B
Two-thirds
Option B
C
Three-halves
Option C
D
Five-thirds
Option D

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