49,52 and 53 by wrong diagnosis is /090. A patient of doctor A, who had disease
ID: 2907736 • Letter: 4
Question
49,52 and 53
by wrong diagnosis is /090. A patient of doctor A, who had disease X, died. What is the chance that his disease was diagnosed correctly ? 4% An integer is chosen at random from first two hundred digits. What is the probability that the integer is divisible by 6 or 8? 49, The contents of Urns I, II and III are as follows 1 white, 2 black and 3 red balls 2 white, 1 black and 1 red balls 4 white, 5 black and 3 red balls One urn is chosen at random and two balls drawn from it. They happen to be white and red. What is the probability that they come from Urn III ? 5 0. In a family there are 5 persons. Find the probability that at least two of them were born in the same month. SI. State and prove Bayes' theorem. 52 is replaced and moreover z" balls of the colour drawn are added to the urn. Then a second ball is drawn at random from the urn. What is the proba Four roads lead away from a jail. A prison random. If road I is z. An urn contains a' white and 'b' black balls. A ball is drawn at random from the urn, it bility that it is white? er escaping from the jail and selects a road at for 53 and if road IV is selected the probability of escaping is 0 Find the 4 If road I is selected the probability of escaping is for road I! probabilityt that the prisoner will succeed in escaping.Explanation / Answer
49) P(A | B) = P(A&B)/P(B)
P(Urn III | White & Red) = P(White and red from Urn III)/P(White and Red)
= [(1/3) x 2x(1/6)(3/5)] / [(1/3) x 2x(1/6)(3/5) + (1/3) x 2x(2/4)x(1/3) + (1/3) x 2x(4/12)x(3/11)]
= 0.2797
52) P(second ball is white) = P(first ball is white and second ball is white) + P(first ball is black and second ball is white)
= [a/(a+b) x (a+c)/(a+b+c) + b/(b+c) x a/(a+b+c)]
= [a x (a+c) + ab]/[(a+b)(a+b+c)]
[a (a+c+b)] / [(a+b) x (a+b+c)]
= a/(a+b)
53) P(prisoner will succeed in escaping) = 1/4 x 1/8 + 1/4 x 1/6 + 1/4 x 1/4 + 1/4 x 9/10
= 1/4 (1/8 + 1/6 + 1/4 + 9/10)
= 0.3604
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.