Using the following information, make a prediction as to which event is most likely to occur.

Question

A sandwich shop has 7 options for bread, 5 options for meat, 4 options for cheese, 10 options for toppings, and 6 options for dressing or sauce. Hera places an order for a sesame seed baguette with turkey, Swiss cheese, pickles, and mayonnaise. The person behind the counter randomly chooses one bread, 1 meat, 1 cheese, 1 topping, and 1 dressing. (1 point)
• Hera gets the correct meat.
• Hera gets the correct cheese.
• Hera gets the correct bread.
• Hera gets the correct topping.

Answer 1

To determine which event is most likely to occur, let's analyze the situation:

1. Bread: There are 7 options. Hera has chosen sesame seed baguette, so the probability that the counter person chooses the same bread is \( \frac{1}{7} \).

2. Meat: There are 5 options. Hera has chosen turkey, so the probability that the counter person chooses turkey is \( \frac{1}{5} \).

3. Cheese: There are 4 options. Hera chose Swiss cheese, so the probability that the counter person chooses Swiss cheese is \( \frac{1}{4} \).

4. Topping: There are 10 options. Hera has chosen pickles, so the probability that the counter person chooses pickles is \( \frac{1}{10} \).

5. Dressing/Sauce: There are 6 options. Hera hasn't specified what dressing has been chosen, and since the question does not state a specific preference for dressing, we can assume that it is irrelevant to the other four items for the given scenario.

Now, let's compare the probabilities of each event:

• Probability of correct bread = \( \frac{1}{7} \)
• Probability of correct meat = \( \frac{1}{5} \)
• Probability of correct cheese = \( \frac{1}{4} \)
• Probability of correct topping = \( \frac{1}{10} \)

Among these probabilities:

• \( \frac{1}{5} \) (correct meat) is the highest probability.
• \( \frac{1}{4} \) (correct cheese) is slightly lower.
• \( \frac{1}{7} \) (correct bread) is lower than both.
• \( \frac{1}{10} \) (correct topping) is the lowest.

Based on these calculations, the event that is most likely to occur is Hera getting the correct meat.