Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

One percent of the population suffers from a certain disease. There is a blood test for this disease and it is 99% accurate, in other words, the probability that it gives the correct answer is 0.99 regardless of whether the person is sick or healthy. A person takes the blood test and the result says that he has the disease. The probability that he actually has the disease is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

75%

b

25%

c

50%

d

0.99%

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

(3) 
A be the event of having the disease
B be the event of testing positive
P(A) = 0.01
P(B) = P(B/A)P(A) + P(B/notA)P(notA)
P(B) = 0.01 x 0.99 + 0.01 x 0.99 = 0.0198
P(AB)=0.99×0.01
P(A/B)=P(AB)P(B)0.99×0.010.0198 = 0.5 or 50%

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring