Question #180738

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?


1
Expert's answer
2021-04-19T06:42:09-0400

Given,

Total computers n(u)=125n(u)=125

Number of computer having GPU installed in their systems n(A)=50P(A)=50125=0.4n(A)=50\Rightarrow P(A)=\dfrac{50}{125}=0.4


Number of computer having ssd storage n(B)=30P(B)=30125=0.24n(B)=30\Rightarrow P(B)=\dfrac{30}{125}=0.24


Number of computer having ssd storage as well as GPU


n(AB)=15P(AB)=15125=0.12n(A\cap B)=15\Rightarrow P(A\cap B)=\dfrac{15}{125}=0.12



Required Probability =P(AB)P(A)=0.120.4=0.3=\dfrac{P(A\cap B)}{P(A)}=\dfrac{0.12}{0.4}=0.3


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