A computer centre has three printers, A, B, and C, which print at different speeds. Programs are routed to the first available printer. The probability that a program is routed to printers A, B, and C are 0.6, 0.3, and 0.1 respectively. Occasionally a printer will jam and destroy a printout. The probability that printers A, B, a

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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6. A computer centre has three printers, A, B, and C, which print at different speeds.
Programs are routed to the first available printer. The probability that a program is routed
to printers A, B, and C are 0.6, 0.3, and 0.1 respectively. Occasionally a printer will jam and
destroy a printout. The probability that printers A, B, and C will jam are 0.01, 0.05, and
0.04, respectively. Your program is destroyed when a printer jams. What is the probability
that printer B is involved?

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