Question

A customer with a peanut allergy wants to buy some biscuits and asks if your biscuits contain nuts. What is the best response?

1) Yes, our biscuits contain nuts.
2) No, our biscuits do not contain nuts.
3) I'm not sure, let me check the ingredients.
4) I cannot guarantee that our biscuits are nut-free.

Answer 1

The best response would be to check the ingredients and provide accurate information to the customer with a peanut allergy.

Step-by-step explanation:

The best response to the customer with a peanut allergy would be option 3) I'm not sure, let me check the ingredients. It is important to check the ingredients because peanuts are considered a common allergen and it is necessary to ensure the product does not contain nuts that may cause an allergic reaction. By checking the ingredients, the customer can make an informed decision about whether or not they can consume the biscuits.

Answer 2

The probability that a cookie contains either chocolate or nuts and cannot be eaten by Sean is 40%, while the probability that a cookie is free of both and therefore safe for Sean to eat is 60%.

Step-by-step explanation:

The best response if a customer with a peanut allergy is inquiring about biscuits containing nuts would be to ensure their safety by checking the ingredients or clearly stating that you cannot guarantee the biscuits are nut-free. However, since this is a mathematics problem related to probability, we are focused on the probability calculations relevant to someone with allergies to chocolate and nuts based on given percentages in an assortment of cookies.

Calculating the Probability of Cookies Containing Chocolate or Nuts:

To find the probability that a cookie contains chocolate or nuts, use the principle of inclusion-exclusion:

• Probability of chocolate or nuts = Probability of chocolate + Probability of nuts - Probability of both chocolate and nuts
  
• Probability of chocolate = 36%
  
• Probability of nuts = 12%
  
• Probability of both = 8%
  
• Probability of chocolate or nuts = 36% + 12% - 8% = 40%
  

Calculating the Probability of Cookies Without Chocolate or Nuts:

To find the cookies Sean can eat:

• Probability of not containing chocolate or nuts = 100% - Probability of chocolate or nuts
  
• Probability of not containing chocolate or nuts = 100% - 40% = 60%
  

We have now determined that there is a 40% chance that a cookie contains either chocolate or nuts, meaning Sean can't eat it, and a 60% chance that a cookie doesn't contain either, meaning he can eat it.