Final answer:
Selecting a diamond from a standard deck of 52 playing cards is a simple event because only one outcome is possible for the event. The terms 'simple event' and 'mutually exclusive' are relevant when discussing such probabilities, as well as the concept of sampling with or without replacement that affects the dependency of events.
Step-by-step explanation:
You asked if selecting a diamond from a standard deck of 52 playing cards is a simple event. The answer to that question is true. A simple event in probability refers to an event where only one outcome is possible. In a standard deck, there are 13 diamonds, and each card is distinct. When you select one card, there is only one outcome regarding it being a diamond or not. Hence, selecting a diamond is indeed a simple event.
Drawing one card from a standard deck also allows us to discuss mutually exclusive events. For instance, let's assume event H is selecting a heart and event S is selecting a spade. These events are mutually exclusive because one card cannot be both a heart and a spade simultaneously. Therefore, the probability of a card being a heart or spade is the sum of the individual probabilities of drawing a heart or a spade.
If we were to consider sampling without replacement, such as drawing three specific cards in sequence, each draw affects the subsequent one because the composition of the deck changes. However, if we were to put the card back into the deck after each draw, this would be sampling with replacement, and each draw would be independent of the previous one, as the deck would remain the same for every draw.