Question

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?

Answer 1

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:

$P(V|T)=\frac{P\mleft(T\cap V\mright)}{P\mleft(T\mright)}=\frac{0.54}{0.9}=0.6$

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