Question #194230

A shipment of 100 bags of sugar is rumoured to have some bags that contain illegal drugs. Local customs officials decided to screen shipment by randomly testing 4 bags. If any are found to contain drugs, the whole consignment is sized.


Compute the probability that the shipment consisting of 95 bags of sugar and 5 bags of illegal drugs will be detected in this manner


1
Expert's answer
2021-05-17T17:03:45-0400

P(X>0)=1P(X=0)=195100949993989297=0.1881.P(X>0)=1-P(X=0)=1-\frac{95}{100}*\frac{94}{99}*\frac{93}{98}*\frac{92}{97}=0.1881.


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