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A study has been done to determine wheth...

A study has been done to determine whether or not a certain drug leads to an improvement in symptoms for patients with a particular medical condition. The results are shown in the following table :

Based on this table, what is the probability that a patient shows improvement if it is known that the patient was given the drug ?

A

0.4375

B

0.225

C

0.3375

D

0.3205

Text Solution

Verified by Experts

The correct Answer is:
C
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Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?

KUMAR PRAKASHAN-PROBABILITY-Multiple Choice Questions (MCQs)
  1. If A and B are two events such that P(A) gt 0 and P(B) ne 1, then P(A...

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  2. A study has been done to determine whether or not a certain drug leads...

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  3. A and B are two events such that P(A) = (1)/(4), P(A | B)= (1)/(2) , P...

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  4. If two events A and B are such that P(A')= 0.3, P(B)=0.5 and P(A cap B...

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  5. The probabilities of new purchased television and refrigerator will be...

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  6. Two unbiased dice are thrown. The probability that sum of the numbers ...

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  7. If A and B are two events such that P(A) ne 0 and P(B) ne 0, then P(A'...

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  8. Two unbiased dice are thrown. The probability that the sum of the numb...

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  9. If A and B are two events such that P(A) = (1)/(3), P(B) = (1)/(4) and...

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  10. If A and B are two events such that P(A) = (5)/(8), P(B) = (3)/(8) and...

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  11. If 4P(A) = 6 P(B) = 10 P(A cap B) = 1 then P(B | A) = ……….

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  12. In a family having two children if one of the child is a girl, then th...

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  13. A and B are events such that P(A')= 0.3, P(B) = 0.4 and P(A cap B') =...

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  14. A coin is tossed three times is succession. If E is the event that the...

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  15. If P(A | B) gt P(A) then which of the following is true ?

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  16. Choose the correct answer: If A and B are any two events such that P...

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  17. If P(A)= 0.2, P(B) = 0.3 and P(A cup B) = 0.25 then P(B | A') = ………...

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  18. If P(A) = 0.1, P(B) = 0.2 and P(A cup B)= 0.25 then P(A' | B')= …………

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  19. If P(A) = 0.30, P(B) = 0.40 and P( A cup B)= 0.60 then P(B | A)= ………....

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  20. One card is selecting from the pack of 52 playing cards if A and B den...

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