geometric probability assignment

Juan's game board is a square with sides that are 50 cm long. The area of the large circle is about 1,963.5 square cm. What is the geometric probability that Juan will score more than 0 points?

0.785

Juan's game board is a square with sides that are 50 cm long. The area of the large circle is about 1,963.5 square cm. What is the geometric probability that Juan will not score any points?

0.215

The figure shows a smaller square within a larger square. A point is chosen at random inside the larger square. What is the probability that this point is in the shaded area? Write the answer as a decimal.

0.75

A point is randomly chosen in the square. Which statements are true? Check all that apply.

The point is most likely to be in the shaded region. The probability of the point being in the shaded region is 0.75. The probability that the point is in the square is 1.

A point is randomly chosen on a map of North America. Describe the probability of the point being in each location

certain unlikely impossible

During game play, Juan threw 2 darts onto the board. Determine the likelihood of the scores Juan could get with his two throws.

likely impossible unlikely

Here is Juan's new game board. What is the geometric probability of scoring an odd number of points?

13/25

Juan's game board is a square with 50 cm sides. The area of the large circle is about 1,963.5 square cm. The area of the smallest circle is about 78.5 square cm. What is the geometric probability of scoring 2 or 4 points with one randomly thrown dart?

1885/2500

Juan and his friends played a game in which sticky darts were thrown onto a playing board. To start the game, Juan threw a dart randomly onto the board. Describe the likelihood of getting each score.

unlikely impossible likely

A point is randomly selected on the grid. What is the probability that the point will be located in the shaded region? Give your answer as a fraction.

13/24

What is the probability that a point randomly chosen in the rectangle is in the triangle?

A1/8

A point is chosen in the circle at random. Determine which of the statements are true. Check all that apply.

It is unlikely the point is in region A. It is impossible for the point to be in region H. It is certain that the point will land in a lettered region.

Juan threw a dart onto the board. Which of the following is most likely?

Juan scored at least 2 points.

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at random in the shaded area is exactly 0.8. Explain your reasoning.

The number of squares that are shaded divided by 15 must equal 0.8, so the number of squares must be 0.8(15), which equals 12. The fraction 12/15 reduces to 4/5 which is equal to 8/10.

Juan wants to make a new game board that is a grid containing 25 equally sized squares. How many squares should be shaded to create a region with a geometric probability of 0.2? Explain

The number of squares that are shaded, divided by 25, must equal 0.2, so the number of squares must be 0.2(25), which equals 5. The decimal 0.2 is equal to 2/10, so 2 of every 10 squares must be shaded.

Assume the large circle is decreased in size, but it is still larger than the middle circle. Which is true?

The probability of scoring 0 is more likely

Consider the probability of landing in the 40-point hole to complete these sentences. If the size of the 40-point hole is enlarged, the probability . If the 40-point hole is made smaller, the probability . If the 40-point hole stays the same size, but the scoring zone is made smaller, the probability .

increases decreases increases

Tara is playing a party game in which a tiny ball is dropped into a rectangular box. To win the game, she must guess where the ball will stop. What should she guess to maximize her chances of winning? Which word describes the likelihood of the ball stopping in the area Tara predicted?

shaded area unlikely