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In Europe, 90% of all households have a television. 54% of all households have a television and a VCR. What is the probability that a household has a VCR given that it has a television?

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EXPLANATION

The probability that all households have a TV = 90% = 0.90

P(T) = 0.9

Probability of all households have a TV and VCR = 54% = 0.54

P(T ∩ V) = 0.54

The conditional probability is as follows:

[tex]P(V|T)=\frac{P\mleft(T\cap V\mright)}{P\mleft(T\mright)}=\frac{0.54}{0.9}=0.6[/tex]

0.6 is the probability that a household has a VCR given they have a TV.

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