POD 10.1 Probability in Geometry

Front

What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Front

How do you calculate the probability of an event?

Back

The probability of an event is calculated using the formula: P(E) = Number of favorable outcomes / Total number of possible outcomes.

Front

What is a sample space in probability?

Back

A sample space is the set of all possible outcomes of a probability experiment.

Front

Define a favorable outcome in probability.

Back

A favorable outcome is an outcome that satisfies the conditions of the event for which the probability is being calculated.

Front

What is the probability of an event that cannot happen?

Back

The probability of an event that cannot happen is 0.

Front

What is the probability of an event that is certain to happen?

Back

The probability of an event that is certain to happen is 1.

Front

If a bag contains 5 red beads, 2 purple beads, and 3 green beads, what is the total number of beads?

Back

The total number of beads is 5 + 2 + 3 = 10.

Front

What is the probability of drawing a red bead from the bag?

Back

P(red) = Number of red beads / Total number of beads = 5/10 = 1/2.

Front

What is the probability of not drawing a green bead from the bag?

Back

P(~green) = 1 - P(green) = 1 - (3/10) = 7/10.

Front

How do you find the probability of a point lying within a specific region in geometry?

Back

To find the probability of a point lying within a specific region, divide the area of the shaded region by the total area of the figure.