(a) Choose a tree diagram that display all the possible head-tail sequences that can occur when you flip a coin three times.   (b) How many sequences contain exactly two heads?   (c) Probability extension: Assuming the sequences are all equally likely, what is the probability that you will get exactly two heads when you toss a coin three times? (Round your answer to three decimal places.)

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.