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The probability that a patient visiting a dentist will have a tooth extracted is 0.06, the probabiltiy that he will have a cavity filled is 0.2, and the probability that he will have a tooth extracted or a cavity filled is 0.23. What is the probability that he will have a tooth extracted as well as a cavity filled ? Select the correct answer from above options

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Correct Answer - 0.03 P ( E 1 ) = 0.06 , P ( E 2 ) = 0.2 and P ( E 1 ∪ E 2 ) = 0.23 . P P ( E 1 ∩ E 2 ) = P ( E 1 ) + P ( E 2 ) − P ( E 1 ∪ E 2 ) . P

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