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Bayes' theorem most important questions | By Ashish sir @Integralganit Your Queries:- There are three coins. One is a two headed coin (having head on both faces), another is a biased coin that comes up heads 75% of the time and third is an unbiased coin. One of the three coins is chosen at random and tossed, it shows heads, what is the probability that it was the two headed coin, In answering a question on a multiple choice test, a student either knows the 3/4 answer or guesses. Le be the probability that he knows the answer and be the probability that he guesses. Assuming that a student who guesses at the 1/4 answer will be correct with probability. What is the probability that the stu- dent knows the answer given that he answered it correctly, Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier, A bag conrains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag, An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accidents are 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver, An urn contains 5 red and 5 black balls. A ball is drawn at random, its colour is noted and is returned to the urn. Moreover, 2 additional balls of the colour drawn are put in the urn and then a ball is drawn at random. What is the probability that the second ball is red, #ncertmaths #mathsbyashishsir #ashishsir #class10maths #maths #integralganitcenter #arithmeticprogression #class12maths #education