Q:

What is geometric probability?

A:

Geometric probability is a concept that involves the distributions of volume, area and length for objects under very specific conditions. The basic concept is the same as that behind normal probability, but total and particular areas of a geometric shape are calculated rather than total and particular outcomes.

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An example of geometric probability involves flipping a coin multiple times and considering the probability of the coin landing heads up on only the third toss. Geometric probability is calculated using the formula P equals particular area divided by total area. In the field of statistics, geometric distribution is considered geometric probability.

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Related Questions

  • Q:

    What are some arithmetic and geometric formulas?

    A:

    Arithmetic formulas originate from the need to determine the value or position of a specific term within an arithmetic sequence, where the difference between successive terms is a constant d, such as "an = a1 - (n - 1)d." Geometric formulas are derived from a similar need but applied to a geometric sequence with a common ratio of r, such as "an = a1 * r^(n - 1)."

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  • Q:

    What is the explicit formula for the geometric sequence?

    A:

    The explicit formula for a geometric sequence is a_n = a_1 * r^(n-1). The variable a_n is equal to the value of the nth term in the given geometric sequence, while a_1 is the value of the first term in the sequence.

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  • Q:

    What is a geometric pattern in math?

    A:

    A geometric pattern refers to a sequence of numbers created by multiplying a specific value or number by the value of its previous one. As long as there are more than two numbers in the pattern, multiplication can be used to continue the pattern or find any missing numbers.

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  • Q:

    What is the sum of a geometric series?

    A:

    In math, the term "sum of a geometric series" describes the value when all of the terms in a geometric series are added together. The sum of the terms in a geometric series can be found using the generic formula a * ([1 - r^n]/[1 - r]).

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