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Kelly spun a spinner, which is pictured below, times. She recorded her results in the table provided. What is the theoretical probability of the spinner landing on the orange section?
The theoretical probability is what should happen. In this case, we have spaces and
of those spaces is orange; thus, the theoretical probability of the spinner landing on orange should always be
or
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Charlie is going to roll a die and flip a coin. What is the probability that he will roll a and the coin will land with heads facing up?
To help us solve this problem, we can make a tree diagram to show all of the possible outcomes of rolling a die and flipping a coin:
As shown from the diagram, we have possible outcomes, but there is only one way to roll a
and for the coin to land on heads; thus, the probability is
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