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A specially made pair of dice has only​ one- and​ two-spots on the faces. One of...

A specially made pair of dice has only​ one- and​ two-spots on the faces. One of the dice has three faces with a​ one-spot and three faces with a​ two-spot. The other die has two faces with a​ one-spot and four faces with a​ two-spot. One of the dice is selected at random and then rolled six times. If a two​-spot shows up four times​, what is the probability that it is the die with the three two​-spots?

The probability that it is the die with the three two​-spots is...?

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