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Class XII_Probability Q: If the mean E (x) = 3, then find the values of a & b & Hence determined P(x≥3) Previous recorded questions and their links: Q135: In answering a question on a multiple-choice test, a student either knows the answer or guesses. Let 3/4 be the probability that he knows the answer and 1/4 be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability 1/4. What is the probability that the student knows the answer given that he answered it correctly?: • In answering a question on a multiple-choi... Q140: A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six. • A man is known to speak truth 3 out of 4 t... Q141: A man is known to speak truth 7 out of 10 times. He throws a die and reports that doublet appeared. Find the probability that it is actually a doublet. • A man is known to speak truth 7 out of 10 ... Q143: 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?: • There are three coins. One is a two headed... Q144: Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4, she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die?: • Suppose a girl throws a die. If she gets a... Q146: A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.: • A card from a pack of 52 cards is lost. Fr... Q147: Suppose that the reliability of a HIV test is specified as follows: Of people having HIV, 90% of the test detect the disease but 10% go undetected. Of people free of HIV, 99% of the test are judged HIV–ive but 1% are diagnosed as showing HIV+ive. From a large population of which only 0.1% have HIV, one person is selected at random, given the HIV test, and the pathologist reports him/her as HIV+ive. What is the probability that the person actually has HIV?: • Of people having HIV, 90% of the test dete... Q148: A laboratory blood test is 99% effective in detecting a certain disease when it is in fact, present. However, the test also yields a false positive result for 0.5% of the healthy person tested (i.e. if a healthy person is tested, then, with probability 0.005, the test will imply he has the disease). If 0.1 percent of the population actually has the disease, what is the probability that a person has the disease given that his test result is positive?: • A laboratory blood test is 99% effective i... Q150: A person plays a game of tossing a coin thrice. For each head, he is given Rs 2 by the organizer of the game and for each tail, he has to give Rs 1.50 to the organizer. Let X denote the amount gained or lost by the person. Show that X is a random variable and exhibit it as a function on the sample space of the experiment.: • A person plays a game of tossing a coin th... Q156: Let X be a random variable which assumes values x_1, x_2, x_3, x_4 such that 2P(X = x_1 )=3P(X=x_2 )=P(X=x_3 )=5P(X=x_4 ). Find the probability distribution of X.: • Let X be a random variable which assumes v... Q159: Two numbers are selected at random (without replacement) from the first five positive integers. Let X denote the larger of the two numbers obtained. Find the mean and variance of X.: • Two numbers are selected at random (withou... Q167: Two cards are drawn simultaneously (or successively without replacement) from a well shuffled pack of 52 cards. Find the mean, variance and standard deviation of the number of kings.: • Two cards are drawn simultaneously (or suc... Q171: The random variable X has a probability distribution P(X) of the following form, where ‘k’ is some number. P(X=x)={■(k&if&x=0@2k&if&x=1@3k&if&x=2@0& &otherwise)┤ Determine the value of k.: • The random variable X has a probability di... Q176: The probability distribution of a random variable X, where k is a constant is given below: P(X=x)={■(0.1&if&x=0@kx^2&if&x=1@kx&if&x=2 or 3@0& &otherwise)┤ Determine: • The probability distribution of a random v... the value of k. P(x≤2) Mean of the variable X. #cbse #icse #boards #8th #9th #10th #foundation #competition #iit #jee #Advanced #mains #ntse #olympiads #exams #examination #achiever #topper #zenith #zenithinstituteofmathematics #indersir #ludhiana #modelgram #bestmathscoaching #besttutorials #besttuition #bestinludhiana #mathtricks #viii #ix #x #xi #xii #important #excellent #question #Probability #MultiplicationTheorem #AdditionTheorem #ConditionalProbability #RandomVariable #Baye’sTheorem