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The probability that Krishna will be alive 10 years hence is 7/15 and that Hari will be alive is 7/10. What is the probability that both Krishna and Hari will be dead 10 years hence
  • a)
    21/150
  • b)
    24/150
  • c)
    49/150
  • d)
    56/150
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The probability that Krishna will be alive 10 yearshence is 7/15 and t...
Understanding the Problem
To determine the probability that both Krishna and Hari will be dead 10 years hence, we first need to calculate the probability that each will be dead.
Step 1: Calculate Individual Death Probabilities
- Probability that Krishna will be alive: 7/15
- Therefore, the probability that Krishna will be dead:
1 - (7/15) = 8/15
- Probability that Hari will be alive: 7/10
- Therefore, the probability that Hari will be dead:
1 - (7/10) = 3/10
Step 2: Calculate Joint Probability of Both Being Dead
The probability that both Krishna and Hari will be dead is the product of their individual death probabilities:
- Probability (Both Dead) = Probability (Krishna Dead) × Probability (Hari Dead)
- Probability (Both Dead) = (8/15) × (3/10)
Step 3: Perform the Multiplication
- Multiply the fractions:
(8 × 3) / (15 × 10) = 24 / 150
Step 4: Simplify the Result
- The fraction 24/150 can be simplified if needed, but the problem does not specify simplification. The answer remains 24/150.
Conclusion
Thus, the probability that both Krishna and Hari will be dead 10 years hence is:
- Answer: 24/150 (Option B)
This calculation illustrates how to work through joint probabilities using complementary probabilities for independent events.
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The probability that Krishna will be alive 10 yearshence is 7/15 and that Hari will be alive is 7/10. Whatis the probability that both Krishna and Hari will bedead 10 years hencea)21/150b)24/150c)49/150d)56/150Correct answer is option 'B'. Can you explain this answer?
Question Description
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