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Seven probability problems cover completing probability tree diagrams and calculating joint outcomes, including winning matches, drawing marbles of different colours, winning at fair games, matching pen colours, drawing different biscuit types, working with numbered tiles, and selecting sandwiches of different 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included with question papers  \nRuler graduated in centimetres and Nil  \nmillimetres, protractor, compasses, pen, HB pencil, eraser.  \nTracing paper may be used.  \nInstructions  \nUse black ink or ball-point pen.  \nFill in the boxes at the top of this page with your name, centre number and candidate number. Answer all questions.  \nAnswer the questions in the spaces provided – there may be more space than you need. Calculators may be used.  \nInformation  \nThe marks for each question are shown in brackets – use this as a guide as to how much time to spend on each question.  \nQuestions labelled with an asterisk (*) are ones where the quality of your written communication will be assessed – you should take particular care on these questions with your spelling, punctuation and grammar, as well as the clarity of expression.  \nAdvice  \nRead each question carefully before you start to answer it. Keep an eye on the time.  \nTry to answer every question.  \nCheck your answers if you have time at the end.  \n1. Hannah is going to play one badminton match and one tennis match.  \n 9   \nThe probability that she will win the badminton match is  \n10  \n2  \nThe probability that she will win the tennis match is  \n5  \n(a) Complete the probability tree diagram.  \n(2)  \n(b) Work out the probability that Hannah will win both matches.  \n(2)  \n(4 marks)  \n2. There are only red marbles and green marbles in a bag.  \nThere are 5 red marbles and 3 green marbles.  \nDwayne takes at random a marble from the bag.  \nHe does not put the marble back in the bag.  \nDwayne takes at random a second marble from the bag.  \n(a) Complete the probability tree diagram.  \n(2)  \n(b) Work out the probability that Dwayne takes marbles of different colours.  \n(3)(5 marks)  \n3. Wendy goes to a fun fair.  \nShe has one go at Hoopla.  \nShe has one go on the Coconut shy.  \nThe probability that she wins at Hoopla is 0.4  \nThe probability that she wins on the Coconut shy is 0.3  \n(a) Complete the probability tree diagram.  \n(2)  \n(b) Work out the probability that Wendy wins at Hoopla and also wins on the Coconut shy.  \n(2)  \n(4 marks)  \n4. There are 5 red pens, 3 blue pens and 2 green pens in a box.  \nGary takes at random a pen from the box and gives the pen to his friend. Gary then takes at random another pen from the box.  \nWork out the probability that both pens are the same colour.  \n(4 marks)  \n5. Carolyn has 20 biscuits in a tin.  \nShe has  \n12 plain biscuits  \n5 chocolate biscuits  \n3 ginger biscuits  \nCarolyn takes at random two biscuits from the tin.  \nWork out the probability that the two biscuits were not the same type.  \n(4 marks)  \n6. Here are seven tiles.  \nJim takes at random a tile.  \nHe does not replace the tile.  \nJim then takes at random a second tile.  \n(a) Calculate the probability that both the tiles Jim takes have the number 1 on them.  \n(2)  \n(b) Calculate the probability that the number on the second tile Jim takes is greater than the number on the first tile he takes.  \n(3)(5 marks)  \n7. There are three different types of sandwiches on a shelf.  \nThere are  \n4 egg sandwiches,  \n5 cheese sandwiches and 2 ham sandwiches.  \nErin takes at random 2 of these sandwiches.  \nWork out the probability that she takes 2 different types of sandwiches.  \n(5 marks)","cbCaihmKORK3HoOo","https://ap.wps.com/l/cbCaihmKORK3HoOo","pdf",162183,"English","# Probability & Tree Diagrams\n## Instructions and information\n## Probability questions 1-7","[{\"question\":\"What is the exam focus of these materials?\",\"answer\":\"The materials focus on probability using tree diagrams, including completing diagrams and calculating requested probabilities in seven questions.\"},{\"question\":\"What equipment is required for the exam?\",\"answer\":\"A ruler (in centimetres and millimetres), protractor, compasses, pen, HB pencil, and eraser are listed, with tracing paper allowed.\"},{\"question\":\"How do the questions assess written communication?\",\"answer\":\"Questions labelled with an asterisk (*) assess the quality of written communication, so spelling, punctuation, grammar, and clarity of expression should be carefully managed.\"}]","Edexcel GCSE Mathematics (Linear) - 1MA0 - Probability & Tree Diagrams | PDF",1792978000]