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The worksheet requires full working and accurate probability tree diagrams where 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Instructions\n\n·Use black ink or ball-point pen.  \n·Answer all questions.  \n·Answer the questions in the spaces provided  \n-there may be more space than you need.  \n·Diagrams are NOT accurately drawn,unless otherwise indicated.  \n·You must show all your working out.  \n# Information\n\n·The marks for each question are shown in brackets  \n-use this as a guide as to how much time to spend on each question.  \n# Advice\n\n·Read each question carefully before you start to answer it.  \n·Keep an eye on the time.  \n·Try to answer every question.  \n·Check your answers if you have time at the end  \nmathsgenie.co.uk  \n1Tina has two bags of counters,Bag A and Bag B.  \nThere are 5 red counters and 3 blue counters in bag A.There are 4 red counters and 5 blue counters in bag B.  \nTina takes at random a counter from each bag.  \n(a)Complete the probability tree diagram.  \nBag ABag BRedRed  \nBlueRedBlue  \nBlueCounters(b)Work out the probability that Tina takes two blue pens.  \n(2)  \n(2)  \n                           (Total for question 1is 4 marks)  \n「  \n2Hannah is going to play one game of chess and one game of backgammon.  \nThe probability she will win the game of chess is 0.6The probability she will win the game of backgammon is 0.7.  \n(a)Complete the probability tree diagram.  \nChessBackgammonHannahwinsHannah06winsHannah doesnot winHannahwins04Hannahdoes notwin  \nHannah doesnot win  \n(2)  \n(b)Work out the probability that Hannah will win both games.  \n06x07=.42    \n0.42  \n(2)  \n                          (Total for question 2 is 4 marks)  \n3Rachel has two bags.  \nIn the first bag there are 4 red balls and 6 green balls.In the second bag there are 3 red balls and 5 green balls.  \nRachel takes at random a ball from the first bagShe then takes at random a ball from the second bag.  \n(a)Complete the probability tree diagram.  \nFirst BagSecond BagRedRed  \nCreenBlueRedCreenBlue  \nCreeBluegreen baUs(b)Work out the probability that Rachel takes twoblue pens.  \n(2)  \n(2)  \n                          (Total for question 3 is 4 marks)  \nJo is going to play one tennis match and match of squash.  \n4  \nThe probability she will win the tennis match is  \nThe probability she will win the squash match is  \n(a)Complete the probability tree diagram.  \nTennisSquashJo winsJo wins  \nJo doesnot winJo winsJo doesnot win  \nJo doesnot win  \n(2)  \n(b)Work out the probability that Jo will win both matches.  \n5  \n(2)  \n                     (Total for question 4 is 4 marks)  \n ]  \n5Each day Paul wears either a black tie or a red tie to work.  \nOn any day the probability he wears a black tie is  \n(a)Complete the probability tree diagram for Monday and Tuesday.  \nMondayTuesdayBlackTieBlackTie  \nRedTieBlackTieRedTie  \nRedTie  \n(2)  \n(b)Work out the probability Paul wears different coloured ties on Monday and Tuesday  \n(2)  \n(Total for question 5 is 4 marks)  \n   \nJon plays a game where he can win,draw or lose.  \n6  \nThe probability Jon wins any game 0.5.The probability Jon draws any game is 0.3  \nJon plays two games.  \n(a)Complete the probability tree diagram  \nSecond game  \nFirst game  \n(2)  \n(b)Work out the probability Jon wins both games.  \n0.25  \n(2)  \n                      (Total for question 6 is 4 marks)  \nBradley gets the bus on Saturday and Sunday.The probability that Bradley's bus will be late on any day is 0.2  \n(a)Complete the probability tree diagram.  \nSaturdayBus islate0.04Bus islateBus isnot late0.1 6Bus islate0.16Bus isnot late0 64  \nSunday  \nBus isnot late  \n(2)  \n(b)Work out the probability that Bradley's bus is late on at least one of these days.  \n02×02 = 0 040.2×0.8= 0.160.8×0,2 = 0./6  \n0.04 +o./6 + 0.16  \n0.3 6  \n(2)  \n                          (Total for question 7is 4 marks)","cbCaigh173eLGtko","https://ap.wps.com/l/cbCaigh173eLGtko","pdf",207608,"English","# Question 1\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability of two blues\n# Question 2\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability of winning both games\n# Question 3\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability of taking two blues\n# Question 4\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability of winning both matches\n# Question 5\n## (a) Complete the probability tree diagram for Monday and Tuesday\n## (b) Calculate the probability of different tie colours\n# Question 6\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability of winning both games\n# Question 7\n## (a) Complete the probability tree diagram\n## (b) Calculate the probability late on at least one day","[{\"question\":\"What does the worksheet require students to do for each question?\",\"answer\":\"Complete the probability tree diagrams (where asked) and answer all questions in the spaces provided, showing all working out.\"},{\"question\":\"How are the time and marks for questions indicated?\",\"answer\":\"The marks for each question are shown in brackets and the guide can be used to decide how long to spend on each question.\"},{\"question\":\"What kinds of probability problems appear in this worksheet?\",\"answer\":\"It includes two-stage selections from bags, combining independent win/draw/lose probabilities across games, and calculating probabilities across two days (e.g., bus being late at least once).\"}]","Probability Trees - GCSE (1-9) - Probability Trees | PDF",1792977591]