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A purse contains 2 six-sided dice. One i...

A purse contains 2 six-sided dice. One is normal fair die, while the other has two 1's, two 3's and two 5's. A die is picked up and rolled. Because of some secret magnetic attraction of the unfair die, there is `75%` chance of picking the unfair die and a `25%` chance of picking a fair die. The die is rolled and shows up the face 3. The probability that a fair die was picked up is

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