Question: I have two dice, one is a standard die. The other has three ones and three fours. I flip a coin. If heads, I will

I have two dice, one is a standard die. The other has three ones and three fours. I flip a coin. If heads, I will roll the standard die five times. If tails, I will roll the other die five times. Let X be the number of fours that appear. Find P(X = 3). Does X have a binomial distribution?

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