## InterA.4Balls2Boxes History

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Number the balls: Attach:4balls_number.jpg Δ

Number the balls:

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

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

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

- 2 Balls - Vertical Box 3rd grade probability
- Throw two dice and check their difference 6th grade probability* 6 Balls - 3 Reds and 3 Greens Drop into 3 Boxes 8-10th grade probability

To use offline, download and unzip 4balls2boxes_v3.zip.

To use offline, download and unzip 4balls2boxes_v3.zip.

Then, double-click on 4balls2boxes.html. How do I do all this?We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

Are the colors mixed or separate?

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[c]Activity Notes

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors mixed or separate?

(a) Both boxes will have will have 1R&1G.

(a) Both boxes will have will have 1R & 1G.

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To use offline, download and unzip 4balls2boxes_v3.zip.

Scratch file designed by Linda Fahlberg-Stojanovska.

- To use offline, download and unzip 4 Balls 2 Boxes Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?

<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='4balls2boxes_v3.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='4balls_v3.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='4balls2boxes

_v3.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='4balls2boxes_v3.sb'></applet>

- To use offline, download and unzip 4 Ball-2 Box Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.

- To use offline, download and unzip 4 Balls 2 Boxes Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.

<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='4balls_v3.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='4balls2boxes

_v3.sb'></applet>

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Are the colors % c11 bgr% or separate?

- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

- Download 4 Ball-2 Box 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 4 Ball-2 Box Drop.
- Scratch file designed by Linda Fahlberg-Stojanovska.
- To change Scratch file, download and install freeware Scratch. See Scratch-MIT for more information.

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

- How many times does mixed occur?

- How many times does mixed occur?

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

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

- How many times should mixed occur?

- How many times does mixed occur?

<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='4balls_v2.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='4balls_v3.sb'></applet>

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

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

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

These **two events** are mutually exclusive and complete.

Do the experiment 200-1000 times.

Do the experiment 200-1000 times.

- How many of these times should the event mixed occur?

- How many times should mixed occur?

We call this event: SEPARATE colors.

We call this event: SEPARATE colors.

- What is the percentage of mixed?
- What is the percentage of separate?

- What is the percent of mixed?
- What is the percent of separate?

We call this event: MIXED colors.

We call this event: MIXED colors.

We call this event: SEPARATE colors.

We call this event: SEPARATE colors.

Questions to think about:

- What appears to be the probability of mixed?
- What appears to be the probability of separate?

- What is the percentage of mixed?
- What is the percentage of separate?

- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes

- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

Do the experiment several hundred times.

- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?

Do the experiment 200-1000 times.

- What appears to be the probability of mixed?
- What appears to be the probability of separate?

Questions to think about:

- Do the experiment several hundred times.
- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?

- Theoretically,
- How many different ways can the balls drop into the boxes with mixed colors?
- How many of these times should the event mixed occur?
- Does your theory match your experiment?

Questions to think about:

Do the experiment several hundred times.

- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?

Now for some dreaded theory ...

Number the balls: Attach:4balls_number.jpg Δ

- How many different ways can the balls drop into the boxes?
- How many of these times should the event mixed occur?
- Does your theory match your experiment?

[c]Applet Notes

[c]Activity Notes

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

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

The following **two events** are mutually exclusive and complete (see below).

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 flat boxes.

(a) Both boxes will have will have 1R&1G.

We call this event: MIXED colors.

Attach:mix4box_mixed.png Δ

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

(b) One box 2G, other box 2R.

We call this event: SEPARATE colors.

Attach:mix4box_separate.png Δ

(a) Both boxes will have will have 1R&1G.

We call this event: MIXED colors.

Attach:mix4box_mixed.png Δ

Then think about the mathematics of this.

(b) One box 2G, other box 2R.

We call this event: SEPARATE colors.

Attach:mix4box_separate.png Δ

Questions to think about:

- Do the experiment several hundred times.
- What appears to be the probability of the event mixed?
- What appears to be the probability of the event separate?

- Theoretically,
- How many different ways can the balls drop into the boxes with mixed colors?
- How many of these times should the event mixed occur?
- Does your theory match your experiment?

- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Boxes

- Online Activity: Mix and Drop 2 Red and 2 Green Balls into 2 Flat Boxes

[c]

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[c]Applet Notes

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We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

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

[ valign=middle]*** Click on

[]Attach:cat1try.jpg Δ

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

[tableend]

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Click on "Cat 1 Try" to see the idea.

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes.

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

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

- Download 4 Ball-2 Box Drop Scratch file designed by Linda Fahlberg-Stojanovska
- To use offline, download and install freeware Scratch. See Scratch-MIT for more information.

[table border=1 cellpadding=5 width=98]

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

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

[c valign=middle]

[table border=1 cellpadding=5]

[row]

[c]Applet Notes

[row]

[]

We have 4 balls - 2 Reds and 2 Greens. We drop them randomly into 2 boxes. Click on "Cat 1 Try" to see the idea.

The following **two events** are mutually exclusive and complete (see below).

(a) Both boxes will have will have 1R&1G.

We call this event: MIXED colors.

Attach:mix4box_mixed.png Δ

Related Topics

(b) One box 2G, other box 2R.

We call this event: SEPARATE colors.

Attach:mix4box_separate.png Δ

Then think about the mathematics of this.

<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='4balls.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='4balls_v2.sb'></applet>

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

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