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Level Four > Statistics

Orders

Purpose: 

This is a level 4 probability activity from the Figure It Out theme series.

Achievement Objectives:

Specific Learning Outcomes: 

use problem solving strategies to solve ordering problems

find all possible probability outcomes

describe an outcome as a fraction

Required Resource Materials: 
FIO, Level 3, Theme: At Camp, Orders, page 17
Activity: 

For problem 1, students can use tabs labelled with the students’ names as a model to consider each clue in turn.

diagram.
Question 2 involves probability. Students will first need to work out all the possible outcomes (combinations). They could use a tree diagram to do this:

tree diagram.
Then, considering each person’s wishes:
a. Please don’t let me get peaches.

peaches.
b. I hope I get orange instant pudding.

instant pudding.
c. I’d love apricots with chocolate instant pudding.

apricots table.
The process of selecting puddings could be simulated by using two containers, one for the instant pudding (brown, orange, and red cubes) and one for the fruit (yellow, white, and orange cubes).
Thirty-six combinations of one pudding and one fruit could be selected and the results checked against each person’s wishes.

Answers to Activity

1. Connie
2. a. No peaches: 2/3, a 2 in 3 chance
b. Orange instant pudding: 1/3, a 1 in 3 chance
c. Apricot with chocolate instant pudding: 1/9, a 1 in 9 chance
 


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