1 thought on “what is the probability of a point put inside a triangle which is inside a rectangle having 14 sq cm area”
Step-by-step explanation:
Probability can also relate to the areas of geometric shapes. The following are some examples of probability problems that involve areas of geometric shapes.
Probability of shaded region
Example:
A dart is thrown at random onto a board that has the shape of a circle as shown below. Calculate the probability that the dart will hit the shaded region. (Use π = 3.142)
Probability and Area
Solution:
Total area of board = 3.142 × 14 2 = 615.83 cm2
Area of non-shaded circle = 3.142 × 7 2 = 153.99 cm2
Area of shaded region = 615.83 – 153.99 = 461.84 cm2 = 462 cm2 (rounded to whole number)
Probability of hitting the shaded region =
Example:
The figure shows a circle divided into sectors of different colors.
If a point is selected at random in the circle, calculate the probability that it lies:
a) in the red sector
b) in the green sector.
c) in any sector except the green sector.
Solution:
a) Area of red sector = × area of circle
Probability that the point lies on red sector =
b) Area of green sector = × area of circle
Probability that the point lies on green sector =
c) in any sector except the green sector.
Probability that the point does not lie in the green sector =
Step-by-step explanation:
Probability can also relate to the areas of geometric shapes. The following are some examples of probability problems that involve areas of geometric shapes.
Probability of shaded region
Example:
A dart is thrown at random onto a board that has the shape of a circle as shown below. Calculate the probability that the dart will hit the shaded region. (Use π = 3.142)
Probability and Area
Solution:
Total area of board = 3.142 × 14 2 = 615.83 cm2
Area of non-shaded circle = 3.142 × 7 2 = 153.99 cm2
Area of shaded region = 615.83 – 153.99 = 461.84 cm2 = 462 cm2 (rounded to whole number)
Probability of hitting the shaded region =
Example:
The figure shows a circle divided into sectors of different colors.
If a point is selected at random in the circle, calculate the probability that it lies:
a) in the red sector
b) in the green sector.
c) in any sector except the green sector.
Solution:
a) Area of red sector = × area of circle
Probability that the point lies on red sector =
b) Area of green sector = × area of circle
Probability that the point lies on green sector =
c) in any sector except the green sector.
Probability that the point does not lie in the green sector =