Tree Diagrams Conditional Higher GCSE Questions These questions

Tree Diagrams – Conditional – Higher – GCSE Questions These questions are the same format as previous GCSE exams.

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GCSE 1 Edexcel Higher: May 2017 Paper 1, Q 17 GCSE 1 There are 9 cubes in a bag. Edexcel Higher: May 2017 Paper 1, Q 17 There are 9 cubes in a bag. 7 of the cubes are red. 2 of the cubes are black. Rick takes at random two cubes from the bag. Work out the probability that Rick takes one cube of each colour. You must show your working. (Total for Question 1 is 4 marks)

GCSE 1 GCSE Edexcel Higher: June 2017 Paper 2, Q 12 There are 30 students in Mr Johnston’s class. 14 of the students are girls. Two students from the class are chosen at random. 1 Mr Johnston draws this probability tree diagram for this information. 1 st student Edexcel Higher: June 2017 Paper 2, Q 12 There are 30 students in Mr Johnston’s class. 14 of the students are girls. Two students from the class are chosen at random. Mr Johnston draws this probability tree diagram for this information. 2 nd student 1 st student 2 nd student girl boy girl boy boy (a) Write down one thing that is wrong with the probabilities in the probability tree diagram. Sally and Ray play for the school chess team. (a) Write down one thing that is wrong with the probabilities in the probability tree diagram. (1) Sally and Ray play for the school chess team. (1) The probability that Sally will win her next match is 0. 3 The probability that Ray will win his next match is 0. 15 Mrs Davies says, “The probability that both Sally and Ray will win their matches is 0. 3 + 0. 15” (b) Is Mrs Davies correct? Give a reason for your answer. (1) (Total for Question 1 is 2 marks)

GCSE 1 GCSE Edexcel Higher: June 2018 Paper 2, Q 15 1 A baseball team is going to play a match on Saturday and on Sunday. The probability that the team will win on Saturday is 0. 35. Edexcel Higher: June 2018 Paper 2, Q 15 A baseball team is going to play a match on Saturday and on Sunday. The probability that the team will win on Saturday is 0. 35. If they win on Saturday, the probability that they will win on Sunday is 0. 58 If they do not win on Saturday, the probability that they will win on Sunday is 0. 37 (a) Complete the probability tree diagram. Saturday Sunday Saturday win 0. 35 Sunday win 0. 35 win not win not win (2) Find the probability that the team will win exactly one of the two matches. (3) (Total for Question 1 is 5 marks)

GCSE 1 Edexcel Higher: May 2017 Paper 1, Q 17 There are 9 cubes in a bag. 7 of the cubes are red. 2 of the cubes are black. Rick takes at random two cubes from the bag. Work out the probability that Rick takes one cube of each colour. You must show your working. (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 12 There are 30 students in Mr Johnston’s class. 14 of the students are girls. Two students from the class are chosen at random. Mr Johnston draws this probability tree diagram for this information. 1 st student 2 nd student girl boy (a) Write down one thing that is wrong with the probabilities in the probability tree diagram. Sally and Ray play for the school chess team. (1) The probability that Sally will win her next match is 0. 3 The probability that Ray will win his next match is 0. 15 Mrs Davies says, “The probability that both Sally and Ray will win their matches is 0. 3 + 0. 15” (b) Is Mrs Davies correct? Give a reason for your answer. (1) (Total for Question 1 is 2 marks)

GCSE 1 Edexcel Higher: June 2018 Paper 2, Q 15 A baseball team is going to play a match on Saturday and on Sunday. The probability that the team will win on Saturday is 0. 35. If they win on Saturday, the probability that they will win on Sunday is 0. 58 If they do not win on Saturday, the probability that they will win on Sunday is 0. 37 (a) Complete the probability tree diagram. Saturday Sunday win 0. 35 win not win (2) Find the probability that the team will win exactly one of the two matches. (3) (Total for Question 1 is 5 marks)

GCSE 1 Edexcel Higher: May 2017 Paper 1, Q 17 There are 9 cubes in a bag. No replacement = odds change 7 of the cubes are red. 2 of the cubes are black. Rick takes at random two cubes from the bag. Work out the probability that Rick takes one cube of each colour. You must show your working. R R B B R B Either BR or RB = add (Total for Question 1 is 4 marks)

GCSE 1 Edexcel Higher: June 2017 Paper 2, Q 12 There are 30 students in Mr Johnston’s class. 14 of the students are girls. Two students from the class are chosen at random. Mr Johnston draws this probability tree diagram for this information. 1 st student 2 nd student girl boy (a) Write down one thing that is wrong with the probabilities in the probability tree diagram. Sally and Ray play for the school chess team. (1) The probability that Sally will win her next match is 0. 3 The probability that Ray will win his next match is 0. 15 Mrs Davies says, “The probability that both Sally and Ray will win their matches is 0. 3 + 0. 15” (b) Is Mrs Davies correct? Give a reason for your answer. For both events to happen, probabilities should be multiplied: 0. 3 x 0. 15 = (1) (Total for Question 1 is 2 marks)

GCSE 1 Edexcel Higher: June 2018 Paper 2, Q 15 A baseball team is going to play a match on Saturday and on Sunday. The probability that the team will win on Saturday is 0. 35. If they win on Saturday, the probability that they will win on Sunday is 0. 58 If they do not win on Saturday, the probability that they will win on Sunday is 0. 37 (a) Complete the probability tree diagram. Saturday Sunday 0. 58 0. 35 0. 65 win 0. 42 0. 37 0. 203 win not win 0. 147 0. 2405 not win 0. 63 not win 0. 4095 (2) Find the probability that the team will win exactly one of the two matches. P(WL or LW) = 0. 147 + 0. 2405 = 0. 3875 (3) (Total for Question 1 is 5 marks)

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