Final answer:
The probability of Jordan choosing a medium size light roast coffee is 1/12, by dividing the one favorable outcome by the twelve possible drink combinations.
Step-by-step explanation:
The question is asking for the probability of Jordan selecting a medium size light roast coffee at a coffee shop. There are three sizes of drinks (small, medium, and large) and four types of coffee (light roast, medium roast, dark roast, and espresso). To find this probability, we have to assume that Jordan is equally likely to choose any size and any type of coffee.
The total number of possible outcomes for a drink is the product of the number of drink sizes and the number of coffee types, which is 3 sizes × 4 types = 12 different drink combinations. The event of selecting a medium size light roast coffee is just one of these possible outcomes. Therefore, the probability of this event occurring is the number of favorable outcomes over the total number of possible outcomes.
The probability is calculated as follows:
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- Count the total number of outcomes: 3 sizes × 4 types = 12.
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- Identify the favorable outcome: 1 (medium size light roast coffee).
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- Divide the number of favorable outcomes by the total number of outcomes: 1/12.
The probability of Jordan choosing a medium size light roast coffee is 1/12.