Probability that bulb is red =10100=110 Probability that bulb is red and defective =110×82100 Probability =821000=0.082 ...

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Standard IX

Mathematics

Experimental/Empirical Probability

Question

10% of the bulbs produced in a factory are of red colour 82% are red and defective. If one bulb is picked up at radius determine the probability of its being defective if it is red.

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Solution

Probability that bulb is red $= \frac{10}{100} = \frac{1}{10}$
Probability that bulb is red and defective $= \frac{1}{10} \times \frac{82}{100}$
Probability $= \frac{82}{1000} = 0.082$

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10% of the bulbs produced in a factory are of red colour 82% are red and defective. If one bulb is picked up at radius determine the probability of its being defective if it is red.

Probability that bulb is red=10100=110Probability that bulb is red and defective=110×82100Probability =821000=0.082

Probability that bulb is red $= \frac{10}{100} = \frac{1}{10}$
Probability that bulb is red and defective $= \frac{1}{10} \times \frac{82}{100}$
Probability $= \frac{82}{1000} = 0.082$