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 goes through one of the two options selected at random and suffers a heart attack, then the probability that he had selected yoga is:
- A \(\frac{ 1 3 5 }{ 2 7 9 }\)
- B \(\frac{209}{279}\)
- C \(\frac{ 7 2 }{ 2 7 9 }\)
- D \(\frac{156}{279}\)
Answer & Solution
Correct Answer
(A) \(\frac{ 1 3 5 }{ 2 7 9 }\)
Step-by-step Solution
Detailed explanation
\(P(H|Y) = 0.45 \times (1 - 0.25) = 0.45 \times 0.75 = \frac{27}{80}\) \(P(H|M) = 0.45 \times (1 - 0.20) = 0.45 \times 0.80 = \frac{9}{25}\)…
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