QR Challenge: Intro to Sample Spaces/ Fundamental Counting Principles

Created using the ClassTools QR Treasure Hunt Generator

Teacher Notes

A. Prior to the lesson:

1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.

2. If their phone camera doesn't automatically detect and decode QR codes, ask students to

• Download a QR reader (e.g. I-Nigma | NeoReader | Kaywa) onto their mobile devices
• Bring these devices into the lesson.

3. Print out the QR codes.

4. Cut them out and place them around your class / school.

---

B. The lesson:

1. Give each group a clipboard and a piece of paper so they can write down the decoded questions and their answers to them.

2. Explain to the students that the codes are hidden around the school. Each team will get ONE point for each question they correctly decode and copy down onto their sheet, and a further TWO points if they can then provide the correct answer and write this down underneath the question.

3. Away they go! The winner is the first team to return with the most correct answers in the time available. This could be within a lesson, or during a lunchbreak, or even over several days!

---

C. TIPS / OTHER IDEAS

4. A detailed case study in how to set up a successful QR Scavenger Hunt using this tool can be found here.

---

Questions / Answers (teacher reference)

Question	Answer
1. An example of a non-uniform sample space.	The sum of two six sided dice
2. From a standard deck of cards, P (diamond) =	13/52
3. What is the sample space for a bag of marbles with 3 red and 2 green marbles?	{Red, Green}
4. What is the most likely sum when two D6 are rolled?	7
5. What is the sample space for spinning a 4 color quadrant spinner (Red (R), Green (G), Blue (B), Orange (O)) and then flipping a coin (Head (H) or Tail (T))?	{RH, RT, GH, GT, BH, BT, OH, OT}
6. From a standard deck of cards, P (black card) =	26/52
7. How many elements in the sample space for flipping a coin 4 times?	16 elements
8. What is the P(mostly likely sum) when two D6 are rolled?	6/36
9. Determine the best description for P(even number), if the sample space is natural numbers 1 to 20.	Equally Likely
10. Determine the best description for P(factor of 12), if the sample space is natural numbers 1 to 20.	Unlikely
11. Determine the best description for P(number > 5), if the sample space is natural numbers 1 to 20.	Likely
12. A value that is not valid for a probability?	100
13. When you roll two 30 sided dice and sum their values, the most likely sum will be:	31
14. True or False, the sample space that comes from the digits in the lock combination, 154321 is uniform.	False
15. From a standard deck of cards, P (red jack) =	2/52
16. In a class of 50 students, 18 take Art, 26 take Drama, and 12 take both Art and Drama. How many students in the class are not enrolled in either Art or Drama?	18 students
17. True or False, a bag of marbles with 3 purple and 2 green as a sample space is listed {purple, green}.	True
18. From a standard deck of cards, P (face card) =	12/52
19. What is the sample space size when two D6 are rolled?	36
20. What are the least likely sum when two D6 are rolled?	2 and 12
21. What is the probability of getting the sum of 2 when two D6 are rolled?	1/36

 

---