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

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)
Responses

Hera gets the correct cheese.
Hera gets the correct cheese.

Hera gets the correct topping.
Hera gets the correct topping.

Hera gets the correct meat.
Hera gets the correct meat.

Hera gets the correct bread.

1 answer

To determine which event is most likely to occur, we can analyze the choices available for each category that Hera ordered and compare them to the total possible choices.

  1. Bread: There are 7 options for bread.
  2. Meat: There are 5 options for meat.
  3. Cheese: There are 4 options for cheese.
  4. Toppings: There are 10 options for toppings.
  5. Dressing/Sauce: There are 6 options for dressing or sauce.

Now let's look at the probabilities for each:

  • Correct Bread: There is 1 correct choice out of 7 options (1/7).
  • Correct Meat: There is 1 correct choice out of 5 options (1/5).
  • Correct Cheese: There is 1 correct choice out of 4 options (1/4).
  • Correct Topping: There is 1 correct choice out of 10 options (1/10).
  • Correct Dressing: There is 1 correct choice out of 6 options (1/6).

Now, we can compare these probabilities:

  • Correct Bread: 1/7 (approximately 0.143)
  • Correct Meat: 1/5 (0.200)
  • Correct Cheese: 1/4 (0.250)
  • Correct Topping: 1/10 (0.100)
  • Correct Dressing: 1/6 (approximately 0.167)

The highest probability of getting the correct item is for Hera getting the correct cheese (1/4 or 0.250).

Therefore, the event that is most likely to occur is: Hera gets the correct cheese.