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A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and 0.15 respectively. One of the insured persons dice. What is the probability that the dead person is a young boy?

  • a)
    36/165

  • b)
    25/166

  • c)
    26/165

  • d)
    32/165

Correct answer is option 'B'. Can you explain this answer?
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A life insurance company insured 25,000 young boys, 14,000 young girls...
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Most Upvoted Answer
A life insurance company insured 25,000 young boys, 14,000 young girls...
To find the probability that the dead person is a young boy, we need to use the concept of conditional probability. Let's break down the solution into steps:

Step 1: Calculate the total number of insured persons.
The total number of insured persons is the sum of the number of young boys, young girls, and young adults.
Total insured persons = 25,000 (young boys) + 14,000 (young girls) + 16,000 (young adults)
Total insured persons = 55,000

Step 2: Calculate the probability of death for each group.
The probability of death within 10 years for a young boy is 0.02.
The probability of death within 10 years for a young girl is 0.03.
The probability of death within 10 years for a young adult is 0.15.

Step 3: Calculate the total number of deaths.
The total number of deaths is the sum of the number of deaths for young boys, young girls, and young adults.
Total deaths = 25,000 (young boys) * 0.02 + 14,000 (young girls) * 0.03 + 16,000 (young adults) * 0.15
Total deaths = 500 + 420 + 2400
Total deaths = 3320

Step 4: Calculate the probability that the dead person is a young boy.
The probability that the dead person is a young boy is the number of deaths for young boys divided by the total number of deaths.
Probability = 500 (deaths of young boys) / 3320 (total deaths)
Probability = 25/166

Therefore, the probability that the dead person is a young boy is 25/166, which corresponds to option B.
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Community Answer
A life insurance company insured 25,000 young boys, 14,000 young girls...
The detailed ans is
0.02*25000/(0.02*25000+0.03*14000+0.15*16000)

So equating the ans comes 25/166
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A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and0.15 respectively. One of the insured persons dice. What is the probability that the dead person is a young boy?a)36/165b)25/166c)26/165d)32/165Correct answer is option 'B'. Can you explain this answer?
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A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and0.15 respectively. One of the insured persons dice. What is the probability that the dead person is a young boy?a)36/165b)25/166c)26/165d)32/165Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and0.15 respectively. One of the insured persons dice. What is the probability that the dead person is a young boy?a)36/165b)25/166c)26/165d)32/165Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A life insurance company insured 25,000 young boys, 14,000 young girls and 16,000 young adults. The probability of death within 10 years of a young boy, young girl and a young adult are 0.02, 0.03 and0.15 respectively. One of the insured persons dice. What is the probability that the dead person is a young boy?a)36/165b)25/166c)26/165d)32/165Correct answer is option 'B'. Can you explain this answer?.
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