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Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is [2007]
  • a)
    0.2
  • b)
    0.7
  • c)
    0.06
  • d)
    0.14.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two aeroplanes I and II bomb a target in succession. The probabilities...
Given : Probability of aeroplane I, scoring a target correctly i.e., P(I) = 0.3 probability of scoring a target correctly by aeroplane II, i.e. P(II) = 0.2
∴ The required probability
= 0.7 × 0.2 = 0.14
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Most Upvoted Answer
Two aeroplanes I and II bomb a target in succession. The probabilities...
To solve this problem, we need to calculate the probability that the second plane hits the target given that the first plane misses.

Let's break down the problem step by step:

Step 1: Calculate the probability that the first plane misses the target.
The probability that the first plane misses the target is 1 minus the probability that it hits the target.
P(I misses) = 1 - P(I hits) = 1 - 0.3 = 0.7

Step 2: Calculate the probability that the second plane hits the target given that the first plane misses.
The probability that the second plane hits the target given that the first plane misses can be calculated using conditional probability.
P(II hits | I misses) = P(II hits and I misses) / P(I misses)

To calculate the numerator, we need to find the probability that both planes miss the target. Since the events are independent, we can multiply their probabilities.
P(II hits and I misses) = P(II hits) x P(I misses) = 0.2 x 0.7 = 0.14

Now we can calculate the probability that the second plane hits the target given that the first plane misses.
P(II hits | I misses) = 0.14 / 0.7 = 0.2

Therefore, the probability that the target is hit by the second plane is 0.2 or 20%.

So, the correct answer is option D) 0.14.
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Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is [2007]a)0.2b)0.7c)0.06d)0.14.Correct answer is option 'D'. Can you explain this answer?
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Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is [2007]a)0.2b)0.7c)0.06d)0.14.Correct answer is option 'D'. 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 Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is [2007]a)0.2b)0.7c)0.06d)0.14.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2, respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by the second plane is [2007]a)0.2b)0.7c)0.06d)0.14.Correct answer is option 'D'. Can you explain this answer?.
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