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At the end of the year one student is selected at random

Of the students in a school, it is known that 30% have 100% attendance and 70% students are irregular.

Previous results report that 70% of all students who have 100% attain A grade and 10% irregular students attain A grade in their annual examination.

At the end of the year, one student is selected at random from the school and he was found to have an A grade.

What is the probability that the student has 100% attendnance?

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Dissertation: At the end of the year one student is selected at random

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