To make a prediction regarding which event is most likely to occur based on the given options, we first need to analyze the probabilities of selecting the correct bread, meat, cheese, topping, and dressing.
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Bread: There are 7 options for bread. Therefore, the probability of selecting the correct bread (sesame seed baguette) is 1 in 7, or \( \frac{1}{7} \).
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Meat: There are 5 options for meat. The probability of selecting the correct meat (turkey) is 1 in 5, or \( \frac{1}{5} \).
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Cheese: There are 4 options for cheese. The probability of selecting the correct cheese (Swiss cheese) is 1 in 4, or \( \frac{1}{4} \).
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Topping: There are 10 options for toppings. The probability of selecting the correct topping (pickles) is 1 in 10, or \( \frac{1}{10} \).
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Dressing: There are 6 options for dressing. The probability of selecting the correct dressing (mayonnaise) is 1 in 6, or \( \frac{1}{6} \).
Now, let's compare the probabilities:
- Probability of getting the correct bread: \( \frac{1}{7} \approx 0.1429 \)
- Probability of getting the correct meat: \( \frac{1}{5} = 0.20 \)
- Probability of getting the correct cheese: \( \frac{1}{4} = 0.25 \)
- Probability of getting the correct topping: \( \frac{1}{10} = 0.10 \)
- Probability of getting the correct dressing: \( \frac{1}{6} \approx 0.1667 \)
From this analysis, the highest probability is for getting the correct cheese \( \left( \frac{1}{4} \right) \), which is 25%.
Therefore, the most likely event to occur is Hera gets the correct cheese.