BAF (Bachelor of Accounting & Finance) Probability Topics — practice questions
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Practice BAF (Bachelor of Accounting & Finance) Probability Topics in the app →In probability, what is an experiment?Which of these describes the sample space of an experiment?Which three devices are named for representing a sample space?What range must the probability of an event lie in?The probability of any outcome is described as which quantity?What does the law of large numbers state about repeating an experiment?An outcome belongs to the union of A and B under which condition?For A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is the intersection of A and B?For S = {1, 2, 3, 4, 5, 6} and A = {1, 2, 3, 4}, what is the complement of A and its probability?How is the conditional probability of A given B calculated?What does conditioning on an event B do to the sample space?Odds in favour of winning are quoted as 3 to 2. What is the probability of winning?From the whole numbers 1 to 19, A is the even numbers and B is the numbers above 13. What is the probability oWith A the even numbers and B the numbers above 13 from 1 to 19, the intersection holds three values. What areRoll one fair die. A is an even face and B is a face less than four. What is the probability of A or the complA fair six-sided die is rolled. What is the probability that the outcome is seven?Among 100 people, 52 are male and 43 of those are right-handed. What is the probability a person is right-handAmong 100 people, 52 are male, 87 are right-handed and 43 are both. What is the probability that a person is mStudents tested a Belgian one Euro coin over 250 trials. What did they find?How are casino dice made so that each face is equally likely?How do the ideas independent and mutually exclusive relate to each other?Which equation shows that events A and B are independent?Two events are mutually exclusive. What does that say about their intersection?How many of the three independence conditions must you verify to prove that two events are independent?Cards are drawn from a deck without replacement. What does that make the draws?You do not know whether two events are mutually exclusive. What should you assume?With A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8} and C = {7, 9}, which pair is mutually exclusive?Flip two fair coins. What is the probability of getting at least one tail?Flipping two coins, F is at most one tail and G is two faces the same. Are F and G mutually exclusive?Roll one fair die. C is an odd face larger than two and E is a face less than five. Are C and E mutually excluRoll one fair die. A is an odd face and C is an odd face larger than two. What is the probability of C given ALearning Spanish has probability 0.4 and learning German 0.2, while learning both has probability 0.08. Are thTaking maths has probability 0.6, taking science 0.5, and taking both 0.3. Are the two events independent?English has probability 0.75, speech 0.3, and both together 0.225. What is the probability of speech given EngA box holds red cards numbered 1 to 3 and blue cards numbered 1 to 5. What is the probability the card is evenIn the same box, G is a card numbered above three and H is a blue card numbered one to four. P(G) is 2/8 and PIn a class 60 percent are female, 50 percent have long hair and 45 percent are both. Are being female and haviFlip a coin then roll a die. A is heads with an even face and B is heads with a three, so P(A) is 3/12 and P(BE and F are mutually exclusive with P(E) = 0.4 and P(F) = 0.5. What is P(E given F)?J and K are independent events and P(J given K) = 0.3. What is P(J)?Q and R are independent events with P(Q) = 0.4 and P(Q and R) = 0.1. What is P(R)?G and H are mutually exclusive with P(G) = 0.5 and P(H) = 0.3. Why can P(H given G) not be 0.4?Which expression is the multiplication rule for two events A and B?Which expression is the addition rule for two events A and B?Why does the addition rule subtract the probability of A and B?Klaus can afford only one holiday. New Zealand has probability 0.6 and Alaska 0.35. What is the probability heCarlos scores on his first attempt with probability 0.65, and scores on the second given the first with probabCarlos scores on each attempt with probability 0.65 and scores on both with probability 0.585. What is the proCarlos scores on each attempt with probability 0.65 and on both with probability 0.585. Are the two attempts iHelen makes a free throw 75 percent of the time, and makes the second given the first 85 percent of the time. A swim team of 150 has 75 advanced and 47 intermediate swimmers, with the rest novices. What is the probabilitWhy are being an advanced swimmer and being an intermediate swimmer mutually exclusive?On a swim team of 150, ten of the 28 novices practise four times a week and 80 members do so in all. Are beingFelicity enrols in speech with probability 0.65, and in maths given speech with probability 0.25. What is the Felicity enrols in maths with probability 0.2, in speech with 0.65 and in both with 0.1625. What is the probabAbout 14.3 percent of women who live to 90 develop breast cancer, and of those the test is negative 2 percent A woman develops breast cancer with probability 0.143 and tests negative with probability 0.85, and both occurFor women who develop breast cancer the test is negative 2 percent of the time. What is the probability that tForty-eight percent of voters prefer life without parole, 37.6 percent are Latino, and 55 percent of Latino voY and Z are independent, P(Y or Z) = 0.71 and P(Y) = 0.42. What is P(Z)?Forty-three percent of people have type O blood, 15 percent have the Rh negative factor and 52 percent have onAt a college 72 percent of courses have final exams, 46 percent require research papers and 32 percent requireIn a box of cookies 36 percent contain chocolate, 12 percent contain nuts and eight percent contain both. WhatTen percent of students take a distance class and 40 percent are part time; of the part time students 20 perceGiven P(J) = 0.18, P(K) = 0.37 and P(J or K) = 0.45, what is P(J and K)?Given P(G) = 0.43, P(H) = 0.26 and P(H and G) = 0.14, what is the probability of the complement of H or G?What is a contingency table used for?Of 755 drivers, 305 use a mobile phone and 280 of those had no speeding violation. What is the probability of Of 755 drivers, 305 use a phone, 685 had no violation and 280 are both. What is the probability of phone use oOf 755 drivers, 70 had a speeding violation and 25 of those use a phone. What is the probability of phone use Of 755 drivers, 450 do not use a phone and 405 of those had no violation. What is the probability of no violatOf 800 athletes, 514 had no injury last year and 295 of those stretch before exercising. What is the probabiliOf 100 hikers, 41 prefer lakes and streams and 25 of those are male. What is the probability of being male givOf 100 hikers, 45 are female, 34 prefer the coastline and 18 are both. Are being female and preferring the coaOf 100 hikers, 45 are female, 25 prefer mountain peaks and 11 are both. What is the probability of being femalMuddy is caught with joint probability 1/15 at door one, 1/12 at door two and 1/6 at door three, giving 19/60 Crime rates per 100,000 give rape totals of 29.7, 29.1, 27.7 and 26.8 for the years 2008 to 2011. What is the What is a tree diagram in probability?An urn holds three red and eight blue balls, and two are drawn with replacement. What is the probability that Drawing twice with replacement from an urn of three red and eight blue balls, 88 of the 121 outcomes have blueAn urn holds three red and eight blue marbles, and two are drawn without replacement. What is the probability Drawing two marbles without replacement from three red and eight blue, what is the probability that both are bA litter holds four tabby and five black kittens, and two are chosen without replacement. What is the probabilFrom four tabby and five black kittens two are chosen without replacement. What is the probability that both aWhat does a Venn diagram consist of?Who was John Venn, after whom the Venn diagram is named?How do the English words and and or translate into set symbols?An experiment has outcomes 1 to 12, with A = {1, 2, 3, 4, 5, 6} and B = {6, 7, 8, 9}. Which outcomes lie in neForty percent of students belong to a club, 50 percent work part time and five percent do both. What is the prForty percent of students belong to a club, 50 percent work part time and five percent do both. What is the prOf 50 statistics students, 20 are first years, 15 earn a B and five are both. What is the probability of a firOf 200 people, 80 are female, 90 are college graduates and 30 are both. What is the probability of being femalOf 200 people, 120 are male and 15 of those finished only high school. What is the probability of being a highOf 200 people the joint probability of being a female college graduate is 0.15, while the two separate probabiWhich statement is one of the three axioms on which probability is founded?Among 67 senators, 34 face reelection in November 2016 and ten of those are Democrats. What is the probabilityIn a Senate table no senator has an Other affiliation, so no Other senator faces reelection in November 2016. Among 130 musicians, 58 are male and 15 of those had private instruction. What is the probability of being malAmong 130 musicians, 72 are female, 62 studied in school and 38 are both. Are being female and learning in schIn a smoking study 15,273 people smoke 21 to 30 cigarettes a day, and 4,715 of them are Japanese American. Wha