Question

what are mutually exclusive events? give an example of two events that are mutually exclusive. choose the correct answer below. a. events are mutually exclusive if two or more events cannot occur simultaneously. an example of this is when rolling snake eyes. b. events are mutually exclusive if two or more events cannot occur simultaneously. an example of this is when drawing one card from a deck and getting a queen and a king are mutually exclusive events. c. events are mutually exclusive if two or more events can occur simultaneously. an example of this is when drawing one card from a deck and getting a jack or king are mutually exclusive events. d. events are mutually exclusive if two or more events cannot occur simultaneously. an example of this is when flipping two quarters.

Explanation:

Mutually - exclusive events are those where two or more events cannot happen at the same time. Drawing a queen and a king from a single card draw is an example as a card can't be both a queen and a king simultaneously. Option C is incorrect as it wrongly defines mutually - exclusive events as events that can occur simultaneously. Option A's example of rolling snake eyes is not fully clear in the context provided. Option D's example of flipping two quarters is not a typical mutually - exclusive example as the two coin flips are independent events and not mutually exclusive in the same sense as the card - drawing example.

Answer:

B. Events are mutually exclusive if two or more events cannot occur simultaneously. An example of this is when drawing one card from a deck, drawing a queen and drawing a king are mutually exclusive events.