A box has four dice in it. Three of them are fair dice but the fourth one has the number five on all

Question

A box has four dice in it. Three of them are fair dice but the fourth one has the number five on all of its faces. A die is chosen at random from the box and is rolled three times and shows up the face five on all the three occasions. The chance that the die chosen was a rigged die, is -

Accepted Answer

Events are defined asE1 = A rigged die is chosenE2 = A fair die is chosenA = die shows 5 in all the three times using Baye&#8242;s Theorem :P(E1/A) = =

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