In pedros town 42% of the houses have both internet service and a home phone. If 82% of all the houses in his town have internet service, what is the probability that a house has a home phone if it has internet service?

0.51

Step-by-step explanation:

We know that:

For a random selection, we have a probability of 0.42 where the house has both services and a probability of 0.82 that the house has only internet service.

Let's suppose that the percentage of houses the houses with internet service (the 82% of the total) that also have a home phone is X

Then we must have that, (X/100%) times the 0.82, must be equal to 0.42

(X/100%)*0.82 = 0.42

X = (0.42/0.82)*100% = 51%

This means that 51% of the houses with internet service, also have a home phone.

Then the probability that a house has a home phone given that it has internet service, is equal to:

51%/100% = 0.51

The probability is 0.51

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

the answer is 21%.