Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. The Venn diagram below shows the events \(A\) and \(B\), and the probabilities p, q and r. It is known that \({\rm{P}}(A) = 0.43\) , \({\rm{P}}(B) = 0.62\) and \({\rm{P}}(A \cap B) = 0.27\) . Here are their results. If he wears boots, the probability that Work out the probability that this book is also available in digital format. (b) One of the books that is available in paperback format is picked at random. The Corbettmaths Practice Questions on Independent Events. (b) Given that \(P((A \cup B)') = 0.17 \), find \(P(A|B')\). creating online and paper-based assessments and homeworks. On the day after one GCSE paper Twitter and the media were buzzing with comments about a particular question about Hannah's sweets. Read each question carefully before you begin answering it. Lisa's nephew Sean has two boxes containing plastic building bricks. c) What can she expect her winnings to be in a one day event? ... Functional Skills Maths Level 1 Sample test 1 Task 1 - Duration: 22:07. It really is one of the very best websites around. come with answers. and 5-a-day. Check your answers seem right. (b) Find the probability that the card chosen at random does not have the letter M printed on it. The letters of the word SUMMER are printed on 6 cards. (c) Find the probability that both cakes are plain. Donʼt spend too long on one question. The number of orange crayons in the pencil case is the same as the number of purple crayons. The probability that Jane wins the first game is \(\frac56\). The loaves are displayed in baskets of twelve. The player scores points as shown in the table above but they lose 20 points if they miss the board completely. One of the Costlow supermarkets is selected at random. !The probability of a student passing the final exam is 0.8!The probability of a student passing the retake is 0.4! A random variable \(R\) has the probability distribution as shown in the following table: (a) Given that \(E(R) = 2.85\) find \(a\) and \(b\). Work out the probability that the book is available in digital format. He continues until he chooses a card with the letter M printed on it. 3 more blue counters and 6 more yellow counters are put in the bag. Aran, Betsy and Connor collect data about which way up a drawing pin will land if dropped from a fixed height. (e) Hence, or otherwise, show that the events \(A\) and \(B\) are not independent. (a) At the lucky dip it costs £1 to enter and everyone wins one of three different types of prize. When the arrow is spun once on this spinner, a 1 or a 2 or a 3 can be scored depending on the colour the arrow lands on. Lisa picks a brick at random from the red box and puts it into the blue box. Luka and Donna have an idea. (e) Graham chooses a card at random and does not replace it. It really is one of the very best websites around. The probability of her taking 2 orange sweets is \(\frac13\). The manager thinks that the probability that both players will score a goal in the next match is 0.2 + 0.35. The probability that the counter is yellow is \( \frac{5}{8} \). Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. A game at a fayre consists of a players throwing one dart at the board pictured below. The Corbettmaths Practice Questions on Ratio. A prize is always given for every turn. If Neal wears trainers, the probability that he wears a cap is 0.25. times out of 12 is 0.166. d) What are the possible value(s) of his success rate? 9.!A college course consists of 12 weeks of teaching with a final exam at the end of !the course. The probability that Harper takes one left shoe and one right shoe is \(\frac{7}{13}\). (e) Each Costlow supermarket has 40 baskets of loaves. (e) Calculate the probability that Neal wears no cap. Donna is in a class of 25 students, 5 of whom have a pet dog. extra practise, this is the place for you. Visit his excellent website for more videos, textbook exercises, exam questions, 5-a-day, and more! Videos, worksheets, 5-a-day and much more She can earn £50 in prize money for every successful vault. Donʼt spend too long on one question. 2. Surds Questions Surds Past Edexcel Exam Questions 1. (f) Find the probability that at least 28 baskets in this supermarket contain at most one loaf that is too short. Do you have any comments about these exam-style questions? (d) Given that David wins at least one game, find the probability that he wins both games. Probability: listing outcomes Probability: sample space diagrams Probability: independent events Maths Genie keyboard_arrow_up The table shows the probability of taking at random a brown crayon from the pencil case. The probability it is green is \( \frac{7}{52} \). (d) Chris chooses a card at random, replaces it, then chooses a card again. Videos, worksheets, 5-a-day and much more She eats the cake and chooses another one from the box. wear. Jaedee plays the game twice and adds the two scores together. The possible scores, \(X\) and their probabilities are shown in the following table. Corbett Maths offers outstanding, original Piers wins one of the many prizes on offer in the school raffle but he does not yet know exactly what the prize is. Amelia selects a disc from a bag containing 5 green discs, 4 blue discs and 3 red discs. (a) There are 24 people at a Football Club supporters' meeting in Dudley. Aran thinks "As a drawing pin can only land with its pin up or with its pin down so the probability of a drawing pin landing pin up is 0.5". (b) Write down P (A ∩B) ............................ (1) 2. Find the probability that the prize Piers wins is not both something to eat and worth more than $10 as Piers does not like expensive food. (a) Find the probability that the dart does not hit the board. The probability of winning a teddy bear is \(x\); The probability of winning is soft drink is \(2x\); The probability of winning chocolate bar is \(7x\). The probability that another vaulter is successful at clearing five metres 3 Search for exam-style questions containing a particular word or phrase: To search the entire Transum website use the search box in the grey area below. Dependent Events, Probability: An experiment was conducted to test this. Let A and B be events such that \(P (A) = 0.45\) , \(P (B) = 0.35\) and \(P (A \cup B) = 0.5\). And best of all they (b) Find the probability that he has to throw the dice exactly twice to get the five. Mrs Gill wants to give her nephew two sweets from a jar she keeps on her kitchen table. (c) Use this idea to estimate how many students in Donna's school have pet dogs. The Corbettmaths Practice Questions on Probability. They think "In our two classes there are 53 students, 12 of whom have a pet dog. The box contains two chocolate cakes and three plain cakes. !If a student fails the final exam, they have one opportunity to retake the exam. The probability that she will get a total score of 4 is \(\frac{7}{25}\). The probability that a boy chosen at random buys lunch from the school canteen is \( \frac{4}{5} \). The probability that a girl chosen at random buys lunch from the school canteen is \( \frac{2}{3} \). (c) Estimate the probability of getting a matching pair using all 15 results. tree diagrams, Probability: (b) Roger is offering a free raffle ticket for every raffle ticket purchased. A famous pole vaulter finds that she is successful on 85% of her attempts at (a) Work out the number of students in the school who buy lunch from the school canteen. Tom Pimlott 2,816 views. There are \({6}\) red pieces, \({3}\) blue pieces, … Harper takes at random two shoes from the cupboard. He has both boots and trainers to It really is one of the very best websites around. (b) Work out the probability that a student chosen at random from the whole school does not buy lunch from the school canteen. (a) Complete the probability tree diagram. Corbett Maths offers outstanding, original exam style questions on any topic, as well as videos, past papers and 5-a-day. A field sports day event consists of 12 five-metre vaults. worksheet, complete with answers. 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