Currently spinner activity is freely available online, but costs money to purchase and use offline.

Metadata

Brief

User considers real-life problem of cost/reward of cereal box prizes. Determines corresponding circle graph and constructs interactive spinner. Tests results to see comparison between theoretical and experimental probabilities. Applies algebra to determine real-life cost/benefit.

Pre-knowledge

Basic probability skills.

Goal

Understanding theoretical and experimental probability, real-life situations

Grade

8-10 (8th grade, pre-algebra, probability & statistics)

Strand

Statistics, Data Analysis and Probability; Algebra and Functions

Use CHANGE SPINNER and make a spinner that BEST represents the set of probabilities.

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Check with your teacher to be sure you chose the correct spinner!

Help Setting up Spinner

d) Spin the spinner 10 times. Record your results: number of times cash is won, number of times a toy is won.
Does your answer agree with your answer to question b? Must it?

d

e

f

e) If a box of cereal costs $4.00 and the cash prize is $2.00, how much did you spend to purchase the 10 boxes of cereal? How much did you earn?How many toys did you find?

f) Repeat steps (d) and (e) 9 more times. Following the 100 spins, determine:

What was the total amount of money earned?

How many toys did you find?If each toy is worth $0.50, what cash value of toys did you earn?

How to do multiple spins?

g) Before this new advertising campaign: It cost the company $1.50 for each box of cereal that it made and they usually sold each box for $3.50.
What was their profit for 100 boxes?

Old profit is:

h) During this new advertising campaign: It costs the company $1.50 for each box of cereal that it makes, and they now sell the cereal for $4.00.
What is their profit for 100 boxes -- taking into consideration the total value of the cash prizes and toys in these 100 boxes (use your totals from part (f))?

New profit is:

i) Based on your answers for (g) and (h), will this new campaign boost profits for the cereal company if the number of customers who purchase this cereal does not change? Why or why not?

New campaign

profitable

New campaign

not profitable

j) Why might your answer be different from the person next to you?