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No Football What is the probability that a person likes to watch football, given that she also likes to watch basketball? Foo

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Answer #1

Given

Football No football Total
Basketball 31 12 43
No basketball 36 21 57
Total 67 33 100

To find the probability that a person likes to watch football,given that she also likes to watch basketball.

Using

P(football| basketball) = P(football \cap basketball)/P (basketball)

From the above table

  P(football n basketball) = 31/100

  P( basketball) = 43/100

  P( football |basketball) = (31/100)/(43/100)

  P( football |basketball) = 31/43

  P( football |basketball) = 0.72093[ Roundingtothreedecimalplaces]

P( football |basketball) = 0.721

The probability that a person likes to watch football, given that she also likes to watch basketball is 0.721. 

  

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