1 answer

No Football What is the probability that a person likes to watch football, given that she...

Question:

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

No Football What is the probability that a person likes to watch football, given that she also likes to watch basketball? Football 31 36 Basketball No Basketball 12 The probability that a person likes to watch football, given that she also likes to watch basketball is .310 . (Round to three decimal places as needed.)

Answers

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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