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In the UK National Lottery players choose six numbers between 1 to 59

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In the UK National Lottery players choose six numbers between 1 to 59. On draw day six numbers are chosen and the players who correctly guess two or more of the drawn numbers win a prize. The prizes increase substantially as you guess more of the chosen numbers. Write down the probability of guessing k balls correctly using the hypergeometric distribution and compute the probabilities for k equal 2 to 6.