Analysis of Game Players and Disk Bag Contents
Survey data on gamers' nationality and gaming platform preferences, as well as the composition of a bag of disks, are analyzed to determine probabilities of events like selecting specific disks or gamers based on nationality and platform. The analysis involves calculations of probabilities for various scenarios and showcases the utility of using statistical tools to understand and make decisions based on empirical data.
- Probability Analysis
- Gaming Survey
- Disk Bag Contents
- Nationality Preferences
- Statistical Calculations
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A bag contains green, black and red disks. A E There are the same number of black and red disks. D B C The probability of picking a green disk is 3 What is the probability this fair spinner lands on C? 1) 10 . A cube is picked randomly from this bag. 1) What is the probability of picking a red disk? What is the probability a 1) black cube is picked? 2a) What is the probability of scoring 4 on a fair 6-sided dice? 2) What is the least possible number of disks in the bag? 2) white cube is picked? 2b) What is the probability of scoring 8? 3) cube that is not grey is picked?
A bag contains green, black and red disks. A E There are the same number of black and red disks. D B C The probability of picking a green disk is 3 What is the probability this fair spinner lands on C? 1) 10 . 1 5 A cube is picked randomly from this bag. 1) What is the probability of picking a red disk? What is the probability a 3 10 2 10=1 5 10=1 7 10 2 = 7 20 1) black cube is picked? 2a) What is the probability of scoring 4 on a fair 6-sided dice? 1 6 2) What is the least possible number of disks in the bag? 2) white cube is picked? 5 2b) What is the probability of scoring 8? 3) cube that is not grey is picked? 2 20 0
You work for a video game company. You survey gamers about their nationality (English, French, German) and their gaming platform (console, mobile, PC). 3 English gamers said console. 7 English gamers said mobile. 5 English gamers said PC. 1 French gamer said console. 6 French gamers said mobile. 5 French gamers said PC. 12 German gamers said console. 3 German gamers said mobile. 8 German gamers said PC. You select a gamer at random, what is the probability they are English and play on console? In France, what is the probability a gamer plays on PC? Why is this analysis useful to us?
We can use a two-way table to link two variables. Console Mobile PC Total English 3 7 5 15 French 1 6 5 12 German 12 3 8 23 Total 16 16 18 50 You select a gamer at random What is the probability they are English and play on console? 3 50 or 0.06 5 12 In France, what is the probability a gamer plays on PC? Market Analysis: Support, Future-planning Why is this analysis useful to us?
English Maths Science Total 10 8 7 25 Year 8 5 11 9 25 Year 9 15 19 16 50 Total What is the probability of choosing a Year 8 student who prefers English? 10 over 50 10 Answer 50
English Maths Science Total 24 8 7 39 Year 8 12 12 9 33 Year 9 36 20 16 72 Total What is the probability of a Year 9 student preferring English? 12 over 33 12 Answer 33
Console PC Phone Total 2 8 5 15 Adults 9 6 5 20 Children 11 14 10 35 Total What is the probability of selecting someone who prefers to play on a PC? 14 over 35 14 Answer 35
Console PC Phone Total 15 25 10 50 Adults 8 12 0 20 Children 23 37 10 70 Total What is the probability of an adult preferring to play on a console? 15 over 50 15 Answer 50
Sport Gym Running Total 5 6 9 20 Adults 10 8 2 20 Children 15 14 11 40 Total What is the probability of an adult preferring the gym? 6 over 20 6 Answer 20
Cycle Car Bus Total 2 25 3 30 French 14 4 2 20 German 16 29 5 50 Total What is the probability of a French person taking their car to work? 25 over 30 25 Answer 30
Two-Way Tables & Probability 4) 100 mixed Year 7, 8 & 9 students were asked how they got to school. 1) After school on Tuesday, 14 Year 9s played football. 12 Year 9s played basketball. 17 Year 10s played football. 11 Year 10s played basketball. For Year 7s: 12 walked, 9 cycled, 7 took a bus and 2 took a car. For the 30 Year 8s: 5 walked, 11 cycled & 9 took a bus 15 of the Year 9 students cycled to school. In total, 33 students walked and 22 took the bus. Complete the two-way table with this information. Football Basketball Total Complete a two-way table with this information. Year 9 Year 10 Total a) How many students played Basketball? b) How many students were there in total? c) If a student was picked at random, what is the probability they play Basketball? (express your answer as a fraction) 2) 60 students were asked if they prefer Maths, Science or English. Complete the two-way table. a) What is P(Cycled and are in Year 9)? b) What is P(Year 7 and walked)? c) Of those that took a car, what is P(Year 7)? Maths Science English Total Year 7 12 8 Year 8 11 10 35 5) Children under 13, Teenagers, Adults & Pensioners were asked how much money they spend a day on snacks. a) If a student was picked at random, what is: P(They prefer Maths)? b) If we picked only from Year 7s, what is: P(They prefer English)? 0-99p 1-1.99 2+ Total Child (<13) 4 14 Teenager 4 8 2 Adult 5 3) 40 adults & 50 children people were asked how they prefer to keep fit. Complete the two-way table. Pensioner 5 4 11 Running 17 Gym 10 6 Sport N/A 4 Total 14 22 50 Adults Children Total 21 a) Find P(A person who spends 2 or more a day) b) Find P(A teenager who spends more than 1 per day) c) From those older than 12, P(A person who spends less than 2 per day) 37 a) From everyone, what is P(They prefer to play sport)? b) From only those that prefer going to the gym, what is P(Adult)?
Two-Way Tables & Probability 4) 100 mixed Year 7, 8 & 9 students were asked how they got to school. 1) After school on Tuesday, 14 Year 9s played football. 12 Year 9s played basketball. 17 Year 10s played football. 11 Year 10s played basketball. For Year 7s: 12 walked, 9 cycled, 7 took a bus and 2 took a car. For the 30 Year 8s: 5 walked, 11 cycled & 9 took a bus 15 of the Year 9 students cycled to school. In total, 33 students walked and 22 took the bus. Complete the two-way table with this information. Football 14 17 31 Basketball 12 11 23 Total 26 28 54 Complete a two-way table with this information. Year 9 Year 10 Total Walk Cycle Bus Car Total Year 7 12 9 7 2 30 23 a) How many students played Basketball? b) How many students were there in total? c) If a student was picked at random, what is the probability they play Basketball? (express your answer as a fraction) 54 Year 8 5 11 9 5 30 23 54 Year 9 16 15 6 3 40 Total 33 35 22 10 100 2) 60 students were asked if they prefer Maths, Science or English. Complete the two-way table. 15 100= 3 20 a) What is P(Cycled and are in Year 9)? b) What is P(Year 7 and walked)? c) Of those that took a car, what is P(Year 7)? 12 100= 3 25 Maths Science English Total 2 10=1 5 Year 7 12 8 5 25 Year 8 11 14 10 35 5) Children under 13, Teenagers, Adults & Pensioners were asked how much money they spend a day on snacks. Total 23 22 15 60 23 60 a) If a student was picked at random, what is: P(They prefer Maths)? b) If we picked only from Year 7s, what is: P(They prefer English)? 0-99p 1-1.99 2+ Total 5 25=1 Child (<13) 3 4 7 14 5 Teenager 4 8 2 14 Adult 5 5 1 11 3) 40 adults & 50 children people were asked how they prefer to keep fit. Complete the two-way table. Pensioner 2 5 4 11 Running 17 20 37 Gym 10 6 16 Sport 9 21 30 N/A 4 3 7 Total 40 50 90 Total 14 22 14 50 14=6 Adults Children Total 14 50= 7 25 12 a) Find P(A person who spends 2 or more a day) b) Find P(A teenager who spends more than 1 per day) c) From those older than 12, P(A person who spends less than 2 per day) 16=5 8 7 29 36 1 3 10 a) From everyone, what is P(They prefer to play sport)? b) From only those that prefer going to the gym, what is P(Adult)?
Challenge 96 children were asked which of three ice cream flavours they liked most 18 girls said that chocolate was their favourite A total of 46 boys were asked and 11 of them said they liked strawberry the most 26 children said they liked vanilla ice cream most. Only 3 of the children were girls. What the probability of a boy preferring chocolate ice cream the most?
