Probability Tree
Overview: Use the probability tree to model probabilities associated with drawing colored balls from the urn.
Instructions:
The Urn: The urn displayed on the applet can contain up to 9 balls of 2 or 3 colors.
- Random Fill: The user chooses to have the applet randomly fill the urn with a specified number of balls of either 2 or 3 colors.
- Set Fill: The user chooses the number of balls of each color to add to the urn.
The 'Draw' button: When the 'draw' button is pressed, one ball is randomly selected from the urn. The chosen ball is displayed in the table.
The 'Restart' button: The restart button returns all balls to the urn (if drawing without replacement) and clear the previous draws.
The probability tree: A probability tree is constructed that displays the possible outcomes and associated probabilities for up to 3 draws from the urn.
The number of stages displayed can be changed using the 'Draws' radio buttons. When draws are made, the outcomes are indicated on the corresponding paths
of the tree.
Display Menu: The display menu has options related to the appearance of the applet. From this menu, the colors of the balls can be changed and
the user can choose whether or not to display probabilities on the tree.
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Points to Ponder:
- How can mutually exclusive events be identified on the probability tree?
- How can independent events be identified on the tree?
- Is it possible to have independent events when the drawing is done without replacement?
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