CUET · MATHS · PYQ PAPER 2023
During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20\%\) respectively. He has option to choose any of the two options with equal probabilities. If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:During lockdown, Amit was suffering from heart problem. After proper check-up it was deducted that he has \(45\%\) chance of having heart attack, but yoga and meditation assumed to reduce the chance of heart attack by \(25\%\) and \(20 \%\) respectively. He has option to choose any of the two options with equal probabilities.
If Amit choose yoga to reduce the chance of heart attack, then the chance of heart attack is:
- A \(\frac{28}{100}\)
- B \(\frac{20}{100}\)
- C \(\frac{30}{400}\)
- D \(\frac{135}{400}\)
Answer & Solution
Correct Answer
(D) \(\frac{135}{400}\)
Step-by-step Solution
Detailed explanation
Chance of heart attack after yoga \(= 45\% - (45\% \times 25\%)\) \(= 0.45 - (0.45 \times 0.25)\) \(= 0.45 - 0.1125\) \(= 0.3375\) \(= \frac{3375}{10000}\) \(= \frac{135}{400}\)
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