Question

12. In Europe, 88% of all households have a TV. 51% of all households have a TV and VCR. What is the probability that a household has a VCR given they have a TV?

Answer 1

Answer:

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

Step-by-step explanation:

We are given the following in the question:

Probability of all households have a TV = 88% = 0.88

$P(T) = 0.88$

Probability of all households have a TV and VCR = 51% = 0.51

$P(T\cap V) = 0.51$

We have to find the probability that a household has a VCR given they have a TV.

The conditional probability is given by:

$P(V|T) = \displaystyle\frac{P(V\cap T)}{P(t)} = \frac{0.51}{0.88} = 0.579$

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