Don, Dale, and Cam buy a carton of neopolitan ice cream that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the ice cream using the lone chooser method. Don likes chocolate twice as much as vanilla or strawberry. Dale likes strawberry but no other flavor. Cam, the chooser, likes chocolate and vanilla twice as much as strawberry. In the first division, Don cuts the chocolate piece off and lets Dale choose his favorite piece. Based on that, Dale chooses the vanilla and strawberry parts. Note: All cuts made to the ice cream shown below are vertical.
What pieces does Cam choose based on the other player's divisions?
◦
of the chocolate,
of the vanilla, and
of the strawberry
◦
of the chocolate,
of the vanilla, and
of the strawberry
◦
of the chocolate and all of the vanilla
◦
of the chocolate, all of the vanilla, and
of the strawberry
◦ none of these
Cone of Learning (adapted from Dale).
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