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17. (i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective? (ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

17. (i) A lot of 20 bulbs contain 4 defective ones. One bulb is drawn at random from the lot. What is the probability that this bulb is defective?

(ii) Suppose the bulb drawn in (i) is not defective and is not replaced. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 8740 Points
4 months ago
(i) Numbers of defective bulbs = 4 The total numbers of bulbs = 20 P(E) = (Number of favourable outcomes/ Total number of outcomes) ∴ Probability of getting a defective bulb = P (defective bulb) = 4/20 = ⅕ = 0.2 (ii) Since 1 non-defective bulb is drawn, then the total numbers of bulbs left are 19 So, the total numbers of events (or outcomes) = 19 Numbers of defective bulbs = 19-4 = 15 So, the probability that the bulb is not defective = 15/19 = 0.789

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