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Question Number 104876 by mathocean1 last updated on 24/Jul/20

A ballot box contains 7 balls(3 are   black). we draw successively and  reputing(inside) 5 balls.  What is the number of possibilities   to have one black ball?

$${A}\:{ballot}\:{box}\:{contains}\:\mathrm{7}\:{balls}\left(\mathrm{3}\:{are}\:\right. \\ $$$$\left.{black}\right).\:{we}\:{draw}\:{successively}\:{and} \\ $$$${reputing}\left({inside}\right)\:\mathrm{5}\:{balls}. \\ $$$${What}\:{is}\:{the}\:{number}\:{of}\:{possibilities}\: \\ $$$${to}\:{have}\:{one}\:{black}\:{ball}? \\ $$

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