How many outcomes are possible when a die is rolled and a coin is tossed together?

According to the fundamental principle of counting, if one event can occur in m ways and a second independent event can occur in n ways, the two events can occur together in m times n ways. Rolling a single die yields 6 possible outcomes, and tossing a single coin yields 2 possible outcomes. Multiplying these independent events gives 6 times 2, which equals 12 possible outcomes.

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