Geometric Probability

Front

What is Geometric Probability?

Back

Geometric Probability is the probability that a point chosen randomly in a geometric space falls within a specified region. It is calculated as the ratio of the area of the desired region to the total area.

Front

How do you calculate the probability of a point falling on a line segment?

Back

The probability is calculated as the length of the line segment of interest divided by the total length of the line segment from which the point is chosen.

Front

What is the formula for finding the area of a square?

Back

Area = side length × side length.

Front

If a point is chosen randomly inside a square, what is the probability it is in a smaller square inside it?

Back

Probability = Area of smaller square / Area of larger square.

Front

What is the probability of hitting a specific region when throwing a dart at a target?

Back

Probability = Area of the specific region / Total area of the target.

Front

Define 'event' in the context of probability.

Back

An event is a specific outcome or a set of outcomes of a random experiment.

Front

What does it mean if an event is 'certain'?

Back

A certain event is one that is guaranteed to happen, with a probability of 1.

Front

What does it mean if an event is 'impossible'?

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An impossible event is one that cannot happen, with a probability of 0.

Front

How do you express probability as a fraction?

Back

Probability is expressed as the number of favorable outcomes divided by the total number of possible outcomes.

Front

What is the probability of landing on a specific color in a spinner divided into equal sections?

Back

Probability = Number of sections of that color / Total number of sections.