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Batch-01_BSc_Semester-01_Foundations Of Statistics and Probability

Batch-01_BSc_Semester-01_Foundations Of Statistics and Probability

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What does Bayes' Theorem help to calculate?

Marginal probability

Independent probability

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Conditional probability

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Joint probability

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What is P(B) in Bayes' Theorem?

Posterior probability

❌

Joint probability

❌

Evidence or Marginal Probability

In Bayes' Theorem, P(A) is called:

Prior probability

✅✨

Posterior probability

If two events A and B are independent, what is P(A∣B)?

The chances of a defective screw in three boxes A, B, and C are 15, 16, and 17 respectively. A box is selected at random and a screw drawn from it at random is found to be defective. What is the probability that it came from box A?

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20 percent of the pens produced in a factory are of red colour and 4 percent are red and defective. If one pen is picked up randomly, then what is the probability of its being defective if it is red?

Box A contains 2 black and 3 red balls, while Box B contains 3 black and 4 red balls. One of these two boxes is selected at random, and the probability of choosing box A is double that of box B. If a red ball is drawn from the selected box, then what is the probability that it came from box B?