The stock of a warehouse consists of boxes of high, medium and low quality lightbulbs in respective proportions 1:2:2. The probabilities of bulbs of the three types being unsatisfactory are 0-0, 0-1 and 0-2 respectively. If a box is chosen at random and two bulbs in it are tested and found to be satisfactory, what is the probability that it contains bulbs (i) of high quality; (ii) of medium quality; (iii) of low quality?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Statistics and probability
.8 Testing lightbulbs
The stock of a warehouse consists of boxes of high, medium and low quality lightbulbs in
respective proportions 1:2:2. The probabilities of bulbs of the three types being unsatisfactory
are 0-0, 0-1 and 0-2 respectively. If a box is chosen at random and two bulbs in it are tested
and found to be satisfactory, what is the probability that it contains bulbs
(i) of high quality;
(ii) of medium quality;
(iii) of low quality?
Transcribed Image Text:.8 Testing lightbulbs The stock of a warehouse consists of boxes of high, medium and low quality lightbulbs in respective proportions 1:2:2. The probabilities of bulbs of the three types being unsatisfactory are 0-0, 0-1 and 0-2 respectively. If a box is chosen at random and two bulbs in it are tested and found to be satisfactory, what is the probability that it contains bulbs (i) of high quality; (ii) of medium quality; (iii) of low quality?
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