Fun run prizes

Fun run prizes

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Further Resources

green-stick-runner.png

Aparima College had a fun run. Each of the 100 runners put their name on a piece of paper which went into a box and then names were drawn from the box to win prizes. Noa and Tula were in the fun run.


a)

One name was then drawn to receive the big prize of a TV set.
 
What was the probability that Noa won the TV set? __________

b)

The one name that was drawn was put back in the box. Twenty names were then drawn and they all won a drink bottle each.
 
What was the probability that Tula won a drink bottle? __________
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
probability
Description of task: 
Students calculate the probability of students winning prizes when their names are put in a box with 100 names in it.
Curriculum Links: 
This resource can be used to help to identify students' understanding of writing likelihoods as fractions, decimals or percentages.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Interpreting statistical and chance situations, sets 4-5
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
  

Y8 (07/1998)
a) 1/100 or 0.01 or equivalent
probabilities/ratios/percentages.		 moderate
b) 20/100 or 1/5 or 0.2 or equivalent
probabilities/ratios/ percentages.		 difficult