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What is conditional probability?

Short Answer

Expert verified

The likelihood of receiving event A if event B has already happened is known as conditional probability.

Step by step solution

01

Given

The following information is provided in the given question:

There are infielders and outfielders on a baseball team. Some players are excellent hitters, while others are not so good.

02

Explanation

The likelihood of receiving event A if event B has already happened is known as conditional probability. The notation for showing conditional Probability is P[A|B]

Formula of P[AB]is given below

P(AB)=P(AB)P(B)

In a sample of 50cars, for example, 38are yellow in hue, 16are taxis, and 9are both yellow taxis.
Giventhecoloryellow,whatisthelikelihoodthatyouchoseacartaxi?
Solution:

P[Taxi|Yellow]=P(TaxinYellow) P(Yellow) P[Taxi|Yellow]=9503850=938.

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