Answer to Question #180738 in Statistics and Probability for hussam alshehri

Question

In a group of 125 computer users, 50 of them have a GPU installed in their systems, 30 of them have SSD storage, and 15 have both. If a computer user chosen at random has a GPU, what is the probability he/she also has an SSD?

Answer 1

Given,

Total computers $n(u)=125$

Number of computer having GPU installed in their systems $n(A)=50\Rightarrow P(A)=\dfrac{50}{125}=0.4$

Number of computer having ssd storage $n(B)=30\Rightarrow P(B)=\dfrac{30}{125}=0.24$

Number of computer having ssd storage as well as GPU

$n(A\cap B)=15\Rightarrow P(A\cap B)=\dfrac{15}{125}=0.12$

Required Probability $=\dfrac{P(A\cap B)}{P(A)}=\dfrac{0.12}{0.4}=0.3$