When describing the general process of using areas to calculate probabilities when considering a specific region within a larger space. What are 3 steps you will use?(3 points)

Responses

Compute the are of the specific region of interest.
Compute the are of the specific region of interest.

Calculate probability.
Calculate probability.

Compute the perimeter of the entire space.
Compute the perimeter of the entire space.

Compute the area of the entire space.
Compute the area of the entire space.

Compute the volume of the specific region.

1 answer

To describe the general process of using areas to calculate probabilities when considering a specific region within a larger space, you would follow these three steps:

  1. Compute the area of the specific region of interest.
    This is the area where you want to find the probability.

  2. Compute the area of the entire space.
    This is the total area of the larger space that contains your region of interest.

  3. Calculate probability.
    The probability is then calculated as the ratio of the area of the specific region to the area of the entire space. This can be expressed mathematically as:
    \[ P(\text{specific region}) = \frac{\text{Area of specific region}}{\text{Area of entire space}} \]

These steps provide a systematic approach to calculating probabilities based on area.