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Eddie is arguing with Tana about the probabilities of different outcomes when flipping three coins. They decide to flip a penny, nickel, and a dime.

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Determining the sample space for the 3 events, which are, a penny, nickel and coin flip would best me determined using a tree diagram

  • Sample space are used to represent the different possible outcomes of an experiment.

  • The Area model are best adopted when two events are involved, such that the possible outcomes of each event are lined as the width and length.

  • The tree diagram is used for more complicated scenarios, usually when the number of events exceeds 2.

Therefore, the tree diagram would be best in the scenario described.

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