Prize draw

Prize draw

Pencil and paper
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
  

Prize

Number 
to be won

T-shirt

25

CD

10

Cap

43

Holiday

2

Total

80
 
The table above shows the prizes a radio station was giving away. Each prize was printed on to a card. Kylie was the first winner to draw one of the 80 cards from a barrel.
 
a)
Which prize was Kylie least likely to win? ____________________
 
b)
What was the probability that her prize was
 
 
i)
 
ii)
 
iii)
a holiday? ____________________
 
a CD or a T-shirt? ____________________
 
not a cap? ____________________
Task administration: 
This task is completed with pencil and paper only.
Level:
4
Curriculum info: 
Maths, Statistics, Probability
Keywords: 
probability, frequency tables, table interpretation
Description of task: 
Students interpret information in a frequency table to decide the probability of winning prizes in a competition.
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 (09/1999)

a)

 

 Holiday very easy
 
b)
i)
ii)
iii)
 2/80 or 1/40 or 0.025
35/80 or 7/16 or 0.4375
37/80 or 0.4625
difficult 
difficult 
difficult

NOTE: Other ways of expressing probability are acceptable, i.e., 2 out of 80, or 2.5%.

Diagnostic and formative information: 
  Common error Likely reason
b) i)
    ii)
    iii)

2
35
37

 Gives numerator of probability but ignores the denominator of 80.

b) ii)

10/80 or 25/80

Does not add the two probabilities.

b) iii)

43/80 (or 43)

Probability of winning a cap – ignores "not" a cap.