To determine the most likely event to occur, we need to look at the total options available for each category (bread, meat, cheese, topping, and dressing) and compare them to the specific choices made by Hera.
- Bread options: 7
- Meat options: 5
- Cheese options: 4
- Topping options: 10
- Dressing options: 6
Hera ordered:
- Bread: sesame seed baguette
- Meat: turkey
- Cheese: Swiss cheese
- Topping: pickles
- Dressing: mayonnaise
When the person behind the counter randomly chooses an option from each category, the probability of choosing Hera's specific option is as follows:
- For bread: Probability = 1/7 (since there are 7 options)
- For meat: Probability = 1/5 (since there are 5 options)
- For cheese: Probability = 1/4 (since there are 4 options)
- For topping: Probability = 1/10 (since there are 10 options)
- For dressing: Probability = 1/6 (since there are 6 options)
Since Hera placed an order consisting of one of each category, we can now compare the probabilities of choosing the correct item for each category:
- Bread: 1/7 (0.1429)
- Meat: 1/5 (0.2)
- Cheese: 1/4 (0.25)
- Topping: 1/10 (0.1)
- Dressing: 1/6 (0.1667)
Among these probabilities, the highest is for the cheese (1/4), which has the greatest likelihood of being the correct selection.
Conclusion: The most likely event to occur is that "Hera gets the correct cheese."