Tree Diagrams Mixed Worksheet A The worksheet is

Tree Diagrams – Mixed – Worksheet A The worksheet is in 2 sizes.

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Frequency Trees 1 A) A theme park recorded ticket sales on the weekend & whether it was upgraded to a fastpass. Probability Trees: Unconditional 1 B) A dice is rolled twice. fastpass Saturday ordinary X 96 X 43 ordinary O O E 6 fastpass Sunday 6 6 37 Probability Trees: Conditional 1 C) 10 cards are numbered 1 -10. Two cards are picked simultaneously. O E X 34 E P(A ticket was bought on Saturday) = P(A ticket on Sunday was a fastpass) = P(2 sixes) = P(Exactly one six) = P(1 or more sixes) = P(Both odd numbers) = P(1 odd number & 1 even number) = P(Both odd, or both even) = 2 A) Ms Doolittle recorded end-of-year results for Art, Drama & Music. 2 B) Amir & Jo will both take a driving test. 2 C) P(Sophie wins her first tennis match) = 0. 7 If she wins that match, the probability she wins her next match is 0. 8 If she loses, that probability changes to 0. 4 pass Art 154 fail Drama Music 28 60 pass 46 fail 13 pass 36 Amir Jo Pass F P F fail Did a greater proportion of Art students pass compared to Music students? P(A student failed) = P(A passing student took Drama) = Pass F P(They both pass) = P(Only one passes) = P(They get the same result) = P(Wins then loses) = P(Wins or loses both) = P(Wins at least 1) =

Frequency Trees 1 A) A theme park recorded ticket sales on the weekend & whether it was upgraded to a fastpass Saturday Probability Trees: Unconditional 1 B) A dice is rolled twice. 16 53 ordinary 6 37 Sunday 9 43 ordinary 34 P(A ticket was bought on Saturday) = P(A ticket on Sunday was a fastpass) = 2 A) Ms Doolittle recorded end-of-year results for Art, Drama & Music. pass Art 154 Music 28 fail Drama 60 X 96 fastpass 6 pass 46 fail 13 pass 36 6 X P(2 sixes) = P(Exactly one six) = P(1 or more sixes) = Amir Pass F P F F P(They both pass) = P(Only one passes) = P(They get the same result) = O O E E P(Both odd numbers) = P(1 odd number & 1 even number) = P(Both odd, or both even) = Jo 2 B) Amir & Jo will both take a driving test. fail Did a greater proportion of Art students pass compared to Music students? P(A student failed) = P(A passing student took Drama) = X Probability Trees: Conditional 1 C) 10 cards are numbered 1 -10. Two cards are picked simultaneously. 2 C) P(Sophie wins her first tennis match) = 0. 7 If she wins that match, the probability she wins her next match is 0. 8 If she loses, that probability changes to 0. 4 Half Answers P(Wins then loses) = P(Wins or loses both) = P(Wins at least 1) =

Frequency Trees 1 A) A theme park recorded ticket sales on the weekend & whether it was upgraded to a fastpass Saturday Probability Trees: Unconditional 1 B) A dice is rolled twice. 16 53 ordinary 6 37 Sunday 9 43 ordinary 34 P(A ticket was bought on Saturday) = P(A ticket on Sunday was a fastpass) = 154 Drama Music 35 59 60 X pass 28 fail 7 pass 46 fail 13 pass 36 fail 24 Did a greater proportion of Art students pass compared to Music students? P(A student failed) = P(A passing student took Drama) = X P(2 sixes) = P(Exactly one six) = P(1 or more sixes) = 6 X Amir Pass F P F P(They both pass) = P(Only one passes) = P(They get the same result) = E E F 0. 7 0. 3 0. 8 W 0. 7 × 0. 8 = 0. 56 0. 2 L 0. 7 × 0. 2 = 0. 14 W 0. 3 × 0. 4 = 0. 12 L 0. 6 W 2 C) P(Sophie wins her first tennis match) = 0. 7 If she wins that match, the probability she wins her next match is 0. 8 If she loses, that probability changes to 0. 4 O P(Both odd numbers) = P(1 odd number & 1 even number) = P(Both odd, or both even) = Jo Pass E O O 2 B) Amir & Jo will both take a driving test. 2 A) Ms Doolittle recorded end-of-year results for Art, Drama & Music. Art 96 fastpass 6 Probability Trees: Conditional 1 C) 10 cards are numbered 1 -10. Two cards are picked simultaneously. P(Wins then loses) = P(Wins or loses both) = P(Wins at least 1) = L 0. 3 × 0. 6 = 0. 18

Frequency Trees 1 A) A theme park recorded ticket sales on the weekend & whether it was upgraded to a fastpass. Probability Trees: Unconditional 1 B) A dice is rolled twice. fastpass Saturday ordinary X 96 X 43 ordinary O O E 6 fastpass Sunday 6 6 37 Probability Trees: Conditional 1 C) 10 cards are numbered 1 -10. Two cards are picked simultaneously. O E X 34 E P(A ticket was bought on Saturday) = P(A ticket on Sunday was a fastpass) = P(2 sixes) = P(Exactly one six) = P(1 or more sixes) = P(Both odd numbers) = P(1 odd number & 1 even number) = P(Both odd, or both even) = 2 A) Ms Doolittle recorded end-of-year results for Art, Drama & Music. 2 B) Amir & Jo will both take a driving test. 2 C) P(Sophie wins her first tennis match) = 0. 7 If she wins that match, the probability she wins her next match is 0. 8 If she loses, that probability changes to 0. 4 pass Art 154 fail Drama Music 28 60 pass 46 fail 13 pass 36 Amir Jo Pass F P F fail Did a greater proportion of Art students pass compared to Music students? P(A student failed) = P(A passing student took Drama) = Pass F P(They both pass) = P(Only one passes) = P(They get the same result) = P(Wins then loses) = P(Wins or loses both) = P(Wins at least 1) =

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