Probability
theory mathematically formulates incomplete knowledge pertaining to the
likelihood of an occurrence. For example, a meteorologist might say
there is a 60% chance that it will rain tomorrow. This means that in 6
of every 10 times when the world is in the current state, it will rain.
Probability can of 3 types counting,geometry and algebra
Probability of counting
Let P(event) be
the probability of some event occurring. We can often determine P(event) by counting the number
of successful outcomes and then dividing by the total number of equally likely outcome
Probability as a geometry
Sometimes it is impossible to count the total number of events because there are infinitely many
possibilities. Some problems involve evaluating points on a line segment or in space, or particular
values of a continuous variable such as time.
Probability as Algebra
Here we view probabilities as variables. We then apply algebraic methods to find the values of those variables.
Source: http://www.artofproblemsolving.com/Resources/Files/probarticle.pdf
We will discuss some questions on these 3 on next posts
Probability can of 3 types counting,geometry and algebra
Probability of counting
Let P(event) be
the probability of some event occurring. We can often determine P(event) by counting the number
of successful outcomes and then dividing by the total number of equally likely outcome
Probability as a geometry
Sometimes it is impossible to count the total number of events because there are infinitely many
possibilities. Some problems involve evaluating points on a line segment or in space, or particular
values of a continuous variable such as time.
Probability as Algebra
Here we view probabilities as variables. We then apply algebraic methods to find the values of those variables.
Source: http://www.artofproblemsolving.com/Resources/Files/probarticle.pdf
We will discuss some questions on these 3 on next posts
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