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# probability

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When Mandi shoots free throws, she consistently makes the shot with a probability of m/n<1/2, where m, n are relatively prime positive integers. When she shoots six free throws, the probability that she makes exactly half of them is 4^4/5^5. Find m + n.

Jul 17, 2022

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$$6C3 * (\frac{m}{n})^3 *(1-\frac{m}{n})^3=\frac{4^4}{5^5}\\$$

Now solve it

Jul 18, 2022