Two boxes of mens Old Navy shirts were received from the factory. Box 1 contained 25

Chapter 0, Problem 72

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QUESTION:

Two boxes of mens Old Navy shirts were received from the factory. Box 1 contained 25 mesh polo shirts and 15 Super-T shirts. Box 2 contained 30 mesh polo shirts and 10 180 Chapter 5 CEO Paid More CEO Paid Less Than $1 Million Than $1 Million Total Shareholders made money 2 11 13 Shareholders lost money 4 3 7 Total 6 14 20 Lin01803_ch05_144-185.qxd 10/16/10 10:16 AM Page 180 Super-T shirts. One of the boxes was selected at random, and a shirt was chosen at random from that box to be inspected. The shirt was a mesh polo shirt. Given this information, what is the probability that the mesh polo shirt came from box 1?

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QUESTION:

Two boxes of mens Old Navy shirts were received from the factory. Box 1 contained 25 mesh polo shirts and 15 Super-T shirts. Box 2 contained 30 mesh polo shirts and 10 180 Chapter 5 CEO Paid More CEO Paid Less Than $1 Million Than $1 Million Total Shareholders made money 2 11 13 Shareholders lost money 4 3 7 Total 6 14 20 Lin01803_ch05_144-185.qxd 10/16/10 10:16 AM Page 180 Super-T shirts. One of the boxes was selected at random, and a shirt was chosen at random from that box to be inspected. The shirt was a mesh polo shirt. Given this information, what is the probability that the mesh polo shirt came from box 1?

ANSWER:

Step 1 of 5

General multiplication rule:

Addition rule for disjoint or mutually exclusive events:

Definition Conditional probability:

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