Video: Applications of the Counting Principle (Product Rule)

If the shown spinner was spun once and a coin was tossed once, determine the number of possible outcomes.

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Video Transcript

If the shown spinner was spun once and a coin was tossed once. Determine the number of possible outcomes.

Let’s start by listing out the outcomes of the spinner. The spinner could land on 73 or 94, four, 87, or 15. We have five different outcomes on the spinner. But we are also tossing a coin. If the spinner lands on 73, the coin could land on heads or tails. And this is true for each of the five spinner outcomes.

For each number on the spinner, we have the option of achieving heads or tails on the coin toss. We could make a list of outcomes that looks like this: 73 heads 73 tails, 94 heads and tails, four heads four tails, 87 heads and tails, 15 heads and 15 tails, for a grand total of 10 possible outcomes.

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