In a particular city, 82% of the residents have a desktop computer, 47% have a desktop computer and a laptop computer, and 3% have neither

a desktop nor a laptop computer. Given that a randomly selected home has a desktop computer, the probability this home also has a laptop

computer is

A) 0.28

B) 0.57

C) 0.43

D) 0.53

Question

Giana Khan

Mathematics

18 July, 05:34

In a particular city, 82% of the residents have a desktop computer, 47% have a desktop computer and a laptop computer, and 3% have neither

a desktop nor a laptop computer. Given that a randomly selected home has a desktop computer, the probability this home also has a laptop

computer is

A) 0.28

B) 0.57

C) 0.43

D) 0.53

+5

Answers (1)

Know the Answer?

Arianna Khan · Answer 1

B) 0.57

Step-by-step explanation:

Let's define:

A: the home has a laptop B: the home has a desktop computer.

Data

P (B) = 0.82 P (A∩B) = 0.47

We want to find the probability that a home has a laptop given that it has a desktop computer, that is, P (A|B).

P (A|B) = P (A∩B) / P (B) = 0.47/0.82 = 0.57