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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

Two hundred patients who had either Eye surgery or Throat surgery were asked whether they were satisfied or unsatisfied regarding the result of their surgery The following table summarizes their resp - Mathematics and Statistics

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प्रश्न

Two hundred patients who had either Eye surgery or Throat surgery were asked whether they were satisfied or unsatisfied regarding the result of their surgery.

The following table summarizes their response:

Surgery Satisfied Unsatisfied Total
Throat 70 25 95
Eye 90 15 105
Total 160 40 200

If one person from the 200 patients is selected at random, determine the probability the person had Throat surgery given that the person was unsatisfied.

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उत्तर

Let event F: The patient had a throat surgery,

event G: The patient was unsatisfied.

Given, n(S) = 200

n(F ∩ G) = 25

∴ P(F ∩ G) = `(n(F ∩ G))/(n(S))`

= `25/200`

n(G) = 40

∴ P(G) = `(n(G))/(n(S))`

∴ P(G) = `40/200`

∴ Required probability = P(F/G)

= `(P(F ∩ G))/(P(G))`

= `(25/200)/(40/200)`

= `25/200 xx200/40`

= `25/40`

= `5/8`

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पाठ 9: Probability - Exercise 9.3 [पृष्ठ २०६]

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