Board game

Board game

Auto-markingPencil and paperOnline interactive
Overview
Using this Resource
Connecting to the Curriculum
Marking Student Responses
Further Resources
This task is about the chance of something happening in a board game.
board-game-I.png
 
Ashlee and her friends are playing a board game.
  • Every time a player has a turn, they receive either a coin or a note.
  • The chances of receiving a note or a coin are the same.
  • There is no other way of receiving notes or coins.

Question

a)  If Ashlee has had 10 turns, circle the correct statement.
    • She will have received exactly 5 coins.

    • She could have received anywhere from 0 to 10 coins.

    • She must have received between 3 and 7 coins.

    • She cannot have received more than 8 coins.

    • She will have received exactly 10 coins.

Question

b)  If Ashlee has received 100 coins, circle the correct statement.
    • She has had 200 turns.

    • She has had between 180 and 220 turns.

    • She has had fewer than 250 turns.

    • She has had at least 160 turns.

    • You cannot tell how many turns she has had.

Question

c)  If Ashlee has had 50 turns, circle the correct statement.
    • She will have received exactly 25 notes.

    • She is as likely to have received 10 notes as she is to have received 20 notes.

    • She must have received at least 20 notes.

    • The most likely number of notes she will have received is 25.

    • She must have received between 21 and 29 notes.

Task administration: 
This task can be completed with pencil and paper or online (with auto marking displayed to students).
Level:
5
Curriculum info: 
Keywords: 
Description of task: 
Students choose the best statement from five options to describe the probability of receiving notes and coins in a board game.
Learning Progression Frameworks
This resource can provide evidence of learning associated with within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y11 (03/2001)

a) B [She could have received anywhere from 0 to 10 coins.] easy
b) E [You cannot tell how many turns she has had.] easy
c) D [The most likely number of notes she will have received is 25.] moderate