Probability (Choose) question - marbles in a jar

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SUMMARY

The probability question involves a bowl containing 50 marbles, of which 3 are blue and 47 are white. To determine the probability of picking at least one blue marble when selecting 16 marbles, one must first calculate the probability of not picking any blue marbles. This is achieved by finding the probability of selecting only white marbles, which can be computed using combinations and the hypergeometric distribution.

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  • Understanding of basic probability concepts
  • Familiarity with combinations and binomial coefficients
  • Knowledge of hypergeometric distribution
  • Ability to perform calculations involving large numbers
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  • Study the hypergeometric distribution in detail
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Probability (Choose) question -- marbles in a jar

Simple high school question which i really forgot how to solve :(

"a bowl of 50 marbles, three are blue and the rest are white, if you pick 16 marbles what's the chance you'll get at least one blue one?"

any help would be appreciated!

-glog-
 
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Find the probability of getting no blue marbles
 

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