Description of Mathematical task:
1. I will put my students into groups, and each group will have 3 students.
2. I will give each group 3 cards that consists of 2 jokers and 1 king.
3. One students from each group has to randomly choose a card. Then the second students will show him a card that has "Joker" on it. Then the student who chose one card randomly will be asked to either switch his card or stick with the card that he already have.
4. If the students get the "King" card without switching the randomly chosen card, he will win. If the student gets the "Joker" card without switching the card, he losses. The third student of the group will write down the number of wins and losses when the first student does not switch the card.
5. The students will repeat the same procedure many many times (approximately 30-40 trials).
6. Each group will also count the number of wins and loses when the student switches his/her card.
4. The third students will collect the data.
Solution:
1. I will put my students into groups, and each group will have 3 students.
2. I will give each group 3 cards that consists of 2 jokers and 1 king.
3. One students from each group has to randomly choose a card. Then the second students will show him a card that has "Joker" on it. Then the student who chose one card randomly will be asked to either switch his card or stick with the card that he already have.
4. If the students get the "King" card without switching the randomly chosen card, he will win. If the student gets the "Joker" card without switching the card, he losses. The third student of the group will write down the number of wins and losses when the first student does not switch the card.
5. The students will repeat the same procedure many many times (approximately 30-40 trials).
6. Each group will also count the number of wins and loses when the student switches his/her card.
4. The third students will collect the data.
Solution:
Appropriate grade range: 6-12.
Topics that the task develop: Conditional probability.
Material list: Playing card, pen, pencil, calculator.
Standards: Common Core State Standards – Practice
Topics that the task develop: Conditional probability.
Material list: Playing card, pen, pencil, calculator.
Standards: Common Core State Standards – Practice
- CCSS.Math.Practice.MP6
Attend to precision.
- CCSS.Math.Practice.MP7
Look for and make use of structure.