Fermi Questions
What is the first step to answering a Fermi question?
State the question and clarify the interpretation.
In Lucy’s class there are 12 boys and 18 girls. What is the ratio of girls to boys in its simplest form?
3:2
What is Fundamental Counting Principle?
A way to figure out the number of possible outcomes for a given situation.
What is a weighted average?
The average of two or more terms that do not all have the same number of members.
What is fair share?
Dividing something up so everyone gets an equal amount
What do you do in the third step of a Fermi question?
Define variables and create a formula to solve the Fermi question
What is a ratio?
A mathematical comparison of two or more values, showing the relative sizes of the values
What is the first step to solving a tree diagram problem?
Identify the initial action or event
How do you find a weighted average?
Multiply each term by its weighting factor, which is the number of times each term occurs.
Who is the candidate receiving more than 50% of the vote?
Majority Winner
How many pennies can fit in a gallon sized pickle jar?
Approx. 5,950
The ratio of cups of flour to cups of water in a pizza dough recipe is 9:4. A pizza restaurant makes a large quantity of dough, using 36 cups of flour. How much water should they use?
16 cups
What are two most pivotal concepts for counting?
Addition Principle and Multiplication Principle
What is the first step to finding a weighted average?
Identify the values and their corresponding weights.
What is a Preference Schedule?
A table used to organize the results of all the preference ballots in an election. It tell you the results of the election.
How many grapes can fit in a quart size ziploc bag?
100-140
Mac traveled 30 miles in 3443 of an hour. Assuming his speed doesn’t change, how far will Mac travel in 1 hour?
40 miles
What does tree diagram show?
Probability tree diagrams show all the possible outcomes of the events and can be used to solve probability questions.
What is the formula for weighted averages?
Weighted Average=Sum of [Value × Weight]/Sum of all Weights
A Condorcet Winner does what kind of comparison?
Head to head/1v1
How many basketballs can fit inside a school bus?
Roughly 1,900-2,700 balls.
Paint Pro makes pink paint by mixing red paint and white paint in the ratio 3:4. Colour Co makes pink paint by mixing red paint and white paint in the ratio 5:7. Which company uses a higher proportion of red paint in their mixture?
Paint Pro
What is the Sum Rule in Addition Principle?
If a task can be performed in either two ways, where the two methods cannot be performed simultaneously, then completing the job can be done by the sum of the ways to perform the task.
A class of 25 students took a science test. 10 students had an average (arithmetic mean) score of 80. The other students had an average score of 60. What is the average score of the whole class?
68
What is the Sealed Bid method of fair share?
A fair share method that helps co-owners fairly divide discrete and mixed assets.