## InterA.2Balls History

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- Throw two dice and check their difference 6th grade probability

To use offline, download and unzip 2balls_v2.zip.

To use offline, download and unzip 2balls_v2.zip.

Then, double-click on 2balls.html to open activity."Mutually exclusive" meaning both events cannot happen at same time and "complete" meaning no other event can occur.

"Mutually exclusive" means both events cannot happen at same time and "complete" means no other event can occur.

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[c]Activity Notes

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We have 2 balls - 1 Red and 1 Green. We mix and drop them into a vertical box. What color ball drops first?

We have 2 balls - 1 Red and 1 Green. We mix and drop them into a vertical box. What color ball drops first?

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We call this event: Green first.

We call this event: Green first.

We call this event: Red first.

We call this event: Red first.

[]Attach:cat1try.jpg Δ

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[]Attach:cat1try.jpg Δ Attach:down_cat.gif Δ

[ valign=middle] to see the whole action ***

We call this event: Green first.

We call this event: Green first.

We call this event: Red first.

We call this event: Red first.

To use offline, download and unzip 2balls_v2.zip.

Scratch file designed by Linda Fahlberg-Stojanovska.

- To use offline, download and unzip 2 Balls Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.

We have 2 balls - 1 Red and 1 Green. We mix and drop them into a vertical box. What color ball drops first?

We have 2 balls - 1 Red and 1 Green. We mix and drop them into a vertical box. What color ball drops first?

- To use offline, download and unzip 2 Ball-1 Box Drop.

- To use offline, download and unzip 2 Balls Drop.

- Download 2 Ball Drop Scratch file designed by Linda Fahlberg-Stojanovska
- To use offline, download and install freeware Scratch. See Scratch-MIT for more information.

- To use offline, download and unzip 2 Ball-1 Box Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.
- To change Scratch file, download and install freeware Scratch. See Scratch-MIT for more information.

- 4 Balls - 2 Reds and 2 Greens Drop into 2 Flat Boxes (8-10th grade)
- 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes (10th grade)

- 4 Balls - 2 Reds and 2 Greens Drop into 2 Boxes 8th grade probability
- 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability

[ valign=middle] to see the whole action ***

[ valign=middle] below to see the whole action ***

Do the experiment 200-1000 times.

Do the experiment 200-1000 times.

We call this event: Green first.

We call this event: Green first.

We call this event: Red first.

We call this event: Red first.

Questions to think about:

- Theoretically, how often should the green ball be the first into the box?
- Theoretically, what is the probability that the red ball will drop first?
- How many experiments did it take you to get this theoretical probability?
- What other real life situations give this kind of probability?

Do the experiment 200-1000 times.

- What is the percent of green first?
- What is the percent of red first?

Now for some dreaded theory ...

- Theoretically, how often should the green ball drop first into the box?
- Theoretically, what is the probability that the red ball will drop first?
- Does this agree with your experimental results?
- What other real life situations give this kind of probability?

- Online Activity: Mix and Drop 2 Equally Weighted Balls into a Vertical Box

- Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska

- Download 2 Ball Drop Scratch file designed by Linda Fahlberg-Stojanovska

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[c valign=middle] to see the whole action ***

[ valign=middle] to see the whole action ***

- Theoretically, what is the probability that the red ball will drop first into the box?

- Theoretically, what is the probability that the red ball will drop first?

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(a) The green ball will drop first into the box.

(a) The green ball will drop first.

(b) The red ball will drop first into the box.

(b) The red ball will drop first.

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[ valign=middle] to see the action ***

[c]Activity Notes

[c]Activity Notes

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The following **two events** are mutually exclusive and complete.

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[ valign=middle]*** Click on

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The following **two events** are mutually exclusive and complete.

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**Click on the cats!**

[c]Applet Notes

[c]Activity Notes

- Theoretically - how often should the green ball be the first into the box?
- What is the probability that the red ball will drop first into the box?
- How many experimental trials did it to get this theoretical probability?

- Theoretically, how often should the green ball be the first into the box?
- Theoretically, what is the probability that the red ball will drop first into the box?
- How many experiments did it take you to get this theoretical probability?

[ valign=middle] below! ***

[ valign=middle] below ***

[ valign=middle] at left! ***

[ valign=middle] at left ***

[ valign=middle] to see the idea. ***

[ valign=middle] below! ***

*** Click on "Cat 1 Try" to see the idea. ***

The following **two events** are mutually exclusive and complete.

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[table border=0]

[ valign=middle]*** Click on

[]Attach:cat1try.jpg Δ

[ valign=middle] at left! ***

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The following **two events** are mutually exclusive and complete.

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[table border=1 cellpadding=5 width=100%]

- Online Activity: Mix and Drop 2 Equally Weighted Balls

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- Online Activity: Mix and Drop 2 Equally Weighted Balls into a Vertical Box

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<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='2balls.sb'></applet>

<applet id='ProjectApplet' style='display:block' code='ScratchApplet' codebase='http://mathcasts.org/mtwiki/uploads/Activity' archive='ScratchApplet.jar' height='387' width='482'><param name='project' value='2balls_v2.sb'></applet>

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- 2 Ball Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska

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[c]Applet Notes

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We have 2 balls - 1 Red and 1 Green. We mix and drop them into a vertical box. What color ball drops first?

*** Click on "Cat 1 Try" to see the idea. ***

The following **two events** are mutually exclusive and complete.

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(a) The green ball will drop first into the box.

We call this event: Green first.

[c]Attach:green_first.jpg Δ

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(b) The red ball will drop first into the box.

We call this event: Red first.

[c]Attach:red_first.jpg Δ

Related Topics

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Play this applet to find out the probability of each of these 2 events.Questions to think about:

- Theoretically - how often should the green ball be the first into the box?
- What is the probability that the red ball will drop first into the box?
- How many experimental trials did it to get this theoretical probability?
- What other real life situations give this kind of probability?

- 2 Ball Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska

- 2 Ball Drop for Scratch-MIT designed by Linda Fahlberg-Stojanovska

- Online Activity: Tossing Coins

- Online Activity: Mix and Drop 2 Equally Weighted Balls