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All things Mathematical
14 Jan 2021

Question of the Day

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A large dairy cooperative has three lines for packaging blocks of cheese. The packaging equipment is subject to random faults in that, on average, line A fails to stamp the sell-by date on label 1 in 200 times; the corresponding figures for lines B and C are 1 in 100 and 1 in 50. Of the total output, 50% comes from line A, 30% from B and 20% from C. If an inspector examines a block of cheese at a supermarket and finds no sell-by date stamped on it, what is the probability the block came from line C?

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