Quality-control probabilities and added items

Quality-control probabilities and added items

Secondary 2
TGM Original Questions

A factory packs 3600 cereal boxes. The probabilities that a box is underweight and overweight are \(1/12\) and \(1/18\), respectively.

  1. Find the probability that a box has the exact mass.
  2. Find the number of overweight boxes.
  3. Exact-mass boxes are added until the exact-mass probability is \(9/10\). Find how many are added.

Solution:

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Answer:(a) \(31/36\); (b) \(200\); (c) \(1400\).

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