In a carton of 20 bulbs,4 bulbs are defective | vedclass

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Question

(B) The total number of elementary outcomes in the experiment of selecting a bulb at random from a carton carrying $20$ bulbs is $20$.Total number of

Vedclass · Accepted Answer

$\frac{4}{5}$

Vedclass · Answer

(B) The total number of elementary outcomes in the experiment of selecting a bulb at random from a carton carrying $20$ bulbs is $20$.Total number of bulbs in the carton $= 20$.Number of defective bulbs in the carton $= 4$.Therefore,the number of non-defective bulbs in the carton $= 20 - 4 = 16$.Let event $A$ be the event that the bulb selected at random is non-defective.The number of outcomes favourable to event $A = 16$.The probability of event $A$ is given by $P(A) = \frac{	ext{Number of favourable outcomes}}{	ext{Total number of outcomes}}$.$P(A) = \frac{16}{20} = \frac{4}{5}$.Thus,the probability that the bulb selected at random is non-defective is $\frac{4}{5}$.

In a carton of $20$ bulbs,$4$ bulbs are defective. Find the probability that a bulb selected at random is non-defective.

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