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In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:
- a)8/25
- b)4/5
- c)16/25
- d)9/25
Correct answer is option 'C'. Can you explain this answer?
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In a box of 10 electric bulbs, two are defective. Two bulbs are select...
Problem:
In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:
a) 8/25
b) 4/5
c) 16/25
d) 9/25
Solution:
To solve this problem, we need to find the probability that both bulbs selected are not defective. Let's break down the problem step by step:
Step 1: Finding the probability of selecting a non-defective bulb on the first draw:
- Out of the 10 bulbs, 2 are defective. So, the probability of selecting a non-defective bulb on the first draw is 8/10, which can be simplified as 4/5.
Step 2: Finding the probability of selecting a non-defective bulb on the second draw:
- Since the first bulb is put back into the box before the second draw, the total number of bulbs remains the same (10). Therefore, the probability of selecting a non-defective bulb on the second draw is also 8/10 or 4/5.
Step 3: Finding the probability of both bulbs being non-defective:
- To find the probability of multiple independent events occurring, we multiply their individual probabilities. So, the probability of both bulbs being non-defective is (4/5) * (4/5) = 16/25.
Therefore, the probability that both bulbs selected are not defective is 16/25, which corresponds to option (c).
In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:
a) 8/25
b) 4/5
c) 16/25
d) 9/25
Solution:
To solve this problem, we need to find the probability that both bulbs selected are not defective. Let's break down the problem step by step:
Step 1: Finding the probability of selecting a non-defective bulb on the first draw:
- Out of the 10 bulbs, 2 are defective. So, the probability of selecting a non-defective bulb on the first draw is 8/10, which can be simplified as 4/5.
Step 2: Finding the probability of selecting a non-defective bulb on the second draw:
- Since the first bulb is put back into the box before the second draw, the total number of bulbs remains the same (10). Therefore, the probability of selecting a non-defective bulb on the second draw is also 8/10 or 4/5.
Step 3: Finding the probability of both bulbs being non-defective:
- To find the probability of multiple independent events occurring, we multiply their individual probabilities. So, the probability of both bulbs being non-defective is (4/5) * (4/5) = 16/25.
Therefore, the probability that both bulbs selected are not defective is 16/25, which corresponds to option (c).
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In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer?.
In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer?.
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In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In a box of 10 electric bulbs, two are defective. Two bulbs are selected at random one after the other from the box. The first bulb is put back in the box before making the second selection. The probability that both the bulbs are not defective is:a)8/25b)4/5c)16/25d)9/25Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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