(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I have an unfair coin that comes ups heads 2/3 of the time and tails 1/3 of the time. If i flip this coin k times, what is probability that tails came up more then heads. Assume k is odd. So basically, what is the probability that the number of tails > k/2?

2. Relevant equations

3. The attempt at a solution

I got a mental block right now. Obviously the probability will depend on k, and the larger the the lower the probability. Is it correct if I say the probability is (1/3)^(k/2+1)?

Thanks

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# Probability of flipping a biased coin k times

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