A company manufactures 10000 Laptops in 6 months. Out of which 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one .
A company manufactures 10000 Laptops in 6 months. Out of which 25 of them are found to be defective. When you choose one Laptop from the manufactured, what is the probability that selected Laptop is a good one .
Text Solution
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Total n(S) = 10,000
Defective n(A) = 25
`P(A) = (n(A))/(n(S)) = (overset(1)cancel(25))/(underset(400)cancel(10000))=(1)/(400)`
No. of good laptops = 10000-25
n(B) = 9975
Probability of a good one `=P(B) = (n(B))/(n(S)) =(overset(399)oversetcancel(1995)cancel(9975))/(underset(400)underset cancel(2000)cancel(10000))`
` = (399)/(400) = 0.9975`
Defective n(A) = 25
`P(A) = (n(A))/(n(S)) = (overset(1)cancel(25))/(underset(400)cancel(10000))=(1)/(400)`
No. of good laptops = 10000-25
n(B) = 9975
Probability of a good one `=P(B) = (n(B))/(n(S)) =(overset(399)oversetcancel(1995)cancel(9975))/(underset(400)underset cancel(2000)cancel(10000))`
` = (399)/(400) = 0.9975`
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