IIT JEE , AIEEE Forum - Mathematics , Algebra

manjotpahwa

A doctor is to visit a patient. From the past experience, it is known that the

probabilities that he will come by train, bus, scooter or by any other means of

transport are respectively

3 ,1, 1 and2

10 5 10 5 . The probabilities that he will be late

are

1,1and 1

4 3 12 if he comes by train, bus and scooter respectively, but if he comes

by other means of transport, then he will not be late. When he arrives, he is late.

What is the probability that he comes by train.

ans is 5/7????

avi_1214545

i m getting 1/2
are these values correct??
if yes, plz give the values again..as they are not properly typed...

manjotpahwa

3/10, 1/5, 1/10, 2/5 resp fortrain bus scooetr and other
prob that hell be late is
1/4, 1/3, 1/12 and 0 resp

hash_include

answer is 1/2 only..
simple application of baye's theorem solves it..

avi_1214545

agree with @hash_include

srini

HEY,

IT IS 1/2... A READER SSUM...

P(T)=3/10,P(B)=1/5,P(S)=1/10 ANS P(OTH)=2/5

P(L/T)=1/4,P(L/B)=1/3,P(L/S)=1/12,P-(L/OTH)=0

P(T/L)= P(T)P(L/T)/[P(B)P(L/B)+P(T)P(L/T)+P(S)P(L/S)+ P(OTH)P(L/OTH)]

=1/2.