Unit 8, Lesson 7
Simulating Multi-step Experiments
Grade 7
7.1
Warm-up
Alpine Zoom is a ski business. To make money over spring break, they need it to snow at least 4 out of the 10 days.
7.3
Activity
Kiran invents a game that uses a board with alternating black and white squares. A playing piece starts on a white square and must advance 4 squares to the other side of the board within 5 turns to win the game.
A game board with one row of alternating white and black squares. There are five squares in total and the board begins and ends with a white square. A playing piece is located on the first white square.
For each turn, the player draws a block from a bag containing 2 black blocks and 2 white blocks. If the block color matches the color of the next square on the board, the playing piece moves onto it. If it does not match, the playing piece stays on its current square.
- Take turns playing the game until each person in your group has played the game twice.
- Use the results from all the games your group played to estimate the probability of winning Kiran’s game.
- Do you think your estimate of the probability of winning is a good estimate? How could it be improved?
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