As can easily be shown, the probabilities of getting 0 , 1 , or 2 heads with

Question:

As can easily be shown, the probabilities of getting 0 , 1 , or 2 heads with a pair of balanced coins are $\frac{1}{4}, \frac{1}{2}$, and $\frac{1}{4}$. What is the probability of getting 2 tails twice, 1 head and 1 tail 3 times, and 2 heads once in 6 tosses of a pair of balanced coins?

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