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A lot of 24 bulbs contains 25% defective. A bulb is drawn at random from the lot. It is found to be not defective and it is not put back. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A lot of 24 bulbs contains 25% defective. A bulb is drawn at random fr...
Total no. of bulbs = 24
No. of defective bulbs = 25% of 24

Now a bulb is drawn at random from the 10%. It is found to be not defective and it is not put back. Now one bulb is drawn at random from the rest. Hence the probability that this bulb is not defective = 
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Community Answer
A lot of 24 bulbs contains 25% defective. A bulb is drawn at random fr...
Given information:
- There are 24 bulbs in the lot.
- 25% of the bulbs are defective, which means 6 bulbs are defective.
- A bulb is drawn at random from the lot and found to be not defective.
- The bulb is not put back into the lot.
- Now, one bulb is drawn at random from the remaining bulbs.

To find the probability that the second bulb drawn is not defective, we need to consider the number of non-defective bulbs and the total number of remaining bulbs.

Step 1: Finding the number of non-defective bulbs
Since 25% of the bulbs are defective, it means that 75% of the bulbs are non-defective.
75% of 24 = (75/100) * 24 = 18

Step 2: Finding the total number of remaining bulbs
After drawing the first non-defective bulb, there will be 23 remaining bulbs.

Step 3: Calculating the probability
The probability of drawing a non-defective bulb from the remaining bulbs can be calculated as:
Number of non-defective bulbs / Total number of remaining bulbs
= 18 / 23

Therefore, the probability that the second bulb drawn is not defective is 18/23, which corresponds to option B.
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A lot of 24 bulbs contains 25% defective. A bulb is drawn at random from the lot. It is found to be not defective and it is not put back. Now one bulb is drawn at random from the rest. What is the probability that this bulb is not defective?a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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