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Some Questions on Bayes Theorem (Conditional Probability)

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Some questions on Bayes Theorem.
Let A1 and A2 be the events that a person is lef-eye dominant or right-eye dominant......This should give you a good idea about the question. You may also look at the question in the attached file.

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Answer: a) 5/35

b) 26/35

c) 5/19

d) 9/23

e) Left
Answers :-

a. P(A1 B1) = P(A1) + P(B1) - P(A1U B1)

By looking at the table we know that,

P(A1) = 12/35

P(B1) = 19/35
P(A1U B1) = 26/35

So, now putting all these values into the formula, we have

P(A1 B1) = 12/35 + 19/35 - 26/35

P(A1 B1) = (12 + 19 - 26)/35

P(A1 B1) = (31-26)/35

P(A1 B1) = 5/35 or 1/7.

b. P(A1 U B1) = P(A1) + P(B1) ...

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