Question: Please, I neeed a help in this discrete math question. Portias Caskets (PV 2006) In Shakespeares Merchant of Venice, Portia had three caskets, gold, silver

Please, I neeed a help in this discrete math question.

Portias Caskets (PV 2006)

In Shakespeares Merchant of Venice, Portia had three caskets, gold, silver and lead, inside one of which was her portrait. Her suitor was asked to choose one of the caskets, and if he chose the portrait, he could claim Portia as his bride. Here is Portias casket test again with a twist. Suppose there are two casket makers, Bellini and Cellini.

Bellini always writes true statements on his caskets, while Cellini always writes false ones.

(a) Suppose one of the caskets contains, not a portrait, but a dagger, and the suitors job is to avoid choosing that casket. The caskets are inscribed as follows:

Gold: The dagger is in this casket.

Silver: This casket is empty.

Lead: At most one of these three caskets was made by Bellini.

Which casket should the suitor choose? Explain your answer.

(b) Suppose Portia placed her portrait in one of the caskets and the suitors job is to select the casket with the portrait and to determine the maker of each of the three caskets. The caskets are inscribed as follows:

Gold: The portrait is in here.

Silver: The portrait is in here.

Lead: At least two of these caskets were made by Cellini.

How should the suitor answer to pass the test? Explain

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