GRADE 9 MATH LITERACY PROBABILITY QUESTIONS

These are questions on probability

Transcript

1. Year 9 Mathematics Probability Practice Test 1 Name__________________________ 1 This spinner is divided into five equal sections a) List the sample space b) Find P(3) c) Find P(not 3) d) Find P (a 3 or a 7) e) Find P (a number that is at least 3) 2 A letter is randomly chosen from the word PROBABILITY. Find the following probabilities. a) P(L)! b) P(not L)! c) P(vowel)! d) P(consonant) e) P(vowel or B) f) P(vowel or consonant) 3 This Venn diagram shows the number of people who enjoy holidays at the beach and at the snow. a) How many people are represented in this Venn diagram? ! b) How many people enjoy holidays: i only at the beach? ! ii at the beach (in total)? ! iii both at the beach and at the snow? iv neither at the beach nor at the snow? ! c) How many people do not enjoy holidays at the: i beach? !ii snow? !
2. 4 Copy and complete this two way table 5 A survey of 30 people found that 21 like Australian Rules football and 12 like soccer. Also, 7 people like both football and soccer and 4 like neither football nor soccer. a Construct a Venn diagram for the survey results. ! b How many people: ! i like football or soccer? ii do not like soccer? iii like only football? c If one of the 30 people was randomly selected, find: i P(like football and soccer) ii P(like neither football nor soccer) iii P(like only soccer) 6 At a car yard, 24 cars are tested for fuel economy. Eighteen of the cars run on petrol, 8 cars run on gas and 3 cars can run on both petrol and gas. a Illustrate the situation using a two-way table. ! b How many of the cars: ! i do not run on gas? ii run on neither petrol nor gas? C Find the probability that a randomly selected car: i runs on gas ii runs on only gas iii runs on gas or petrol
3. Answers Question 1 a) b) P(3) = ⅖ {1, 2, 3, 3, 7} d) P(3 or 7) = ⅗ c) P(not 3) = ⅗ e) P(at least a 3) = ⅗ Question 2 a) P(L)! = 1 11 b) P(not L)! = d) P(consonant) 7 11 10 11 c) P(vowel)! = e) P(vowel or B) = 6 11 f) P(vowel or consonant) = 1 Question 3 a) 40 ! b) i 15 enjoy the beach only ! ii 27 enjoy the beach ! iii 12 enjoy the beach and the snow iv 3 don’t enjoy either ! i 13 don’t enjoy the beach? !ii 18 don’t enjoy the snow ! c) Question 4 Question 5 b) i 26 c) i 7 30 ii 18 ii 2 15 iii 14 iii 1 6 4 11
4. Question 6 a) b) i 16 ii c) i P(gas) = 1 3 1 ii P(gas only) = 5 24 iii P(gas or petrol) = 23 24