1. Miguel tosses a coin three times. which diagram represents the sample space of the three tosses?
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Tree diagram can be used to represent the sample space. The correct option is option C.
In probability, a tree diagram can be used to represent the sample space. Tree diagrams represent a series of independent events or conditional probabilities.
As it is given that the coin is tossed three times, therefore, the number of stages in the tree diagram will be three, where each time the coin is tossed will result in either heads or tails.
Now, the tree diagram of the coins can be drawn as shown below.
Further, comparing it with our diagram, the only possible option is option c where the number of levels in the tree is three and each toss result in either heads or tails.
Hence, the correct option is option C.
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