Question

A diner serves breakfast, lunch, and dinner. Some of the breakfast items have egg. Some of the non-breakfast items also have egg. Let B be the set of items available at breakfast and E be the set of items that contain egg. What does P(B∪E) = 1/3 mean?

a) The probability of selecting an item with egg for breakfast is 1/3
b) The probability of selecting any item for breakfast is 1/3
c) The probability of selecting an item with egg for any meal is 1/3
d) The probability of selecting an item without egg for breakfast is 1/3

Answer 1

The probability P(B∪E) = 1/3 means that the probability of selecting an item that is available at breakfast or contains egg is 1/3.

Step-by-step explanation:

The question is asking about the meaning of the probability P(B∪E) = 1/3. In this context, B represents the set of items available at breakfast and E represents the set of items that contain egg. The notation B∪E represents the union of B and E, meaning the set of items that are available at breakfast or contain egg. Therefore, P(B∪E) = 1/3 means that the probability of selecting an item that is available at breakfast or contains egg is 1/3.

Answer: The probability of selecting an item that is available at breakfast or contains egg is 1/3.