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Refer to Question 41 above. If a white ball is selected, what is the probability that it came from Bag 2

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प्रश्न

Refer to Question 41 above. If a white ball is selected, what is the probability that it came from Bag 2

योग
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उत्तर

We will use here Bayes’ Theorem

`"P"("E"_2/"F") = ("P"("E"_2)*"P"("F"/"E"_2))/("P"("E"_1) * "P"("F"/"E"_1) + "P"("E"_2) * "P"("F"/"E"_2) + "P"("E"_3) * "p"("F"/"E"_3))`

= `(2/6*1/3)/(1/6*0 + 2/6*1/3 + 3/6*1)`

= `(2/18)/(2/18 + 3/6)`

= `2/11`

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अध्याय 13: Probability - Exercise [पृष्ठ २७६]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 12
अध्याय 13 Probability
Exercise | Q 42.(i) | पृष्ठ २७६

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संबंधित प्रश्न

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Figure

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Solve the following:

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CASE-BASED/DATA-BASED
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Three persons A, B and C apply for a job a manager in a private company. Chances of their selection are in the ratio 1:2:4. The probability that A, B and C can introduce chances to increase the profits of a company are 0.8, 0.5 and 0.3 respectively. If increase in the profit does not take place, find the probability that it is due to the appointment of A.


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