Simple events are the events where one experiment happens at a time and it will be having a single outcome. ... For example, tossing of coin is a simple event. But if we are tossing a coin and rolling a die simultaneously then it will not be called a simple event as two events are occurring simultaneously.

The favorable outcome is rolling a five, and that can only occur once using one die. The total number of outcomes is six, since the die is 6-sided. So the probability of rolling a five is 1/6. ... The probability of pulling a heart is 13/52 or 1/4.

Event:
In probability, an event refers to a specific outcome or combination of outcomes from a random experiment or a set of possible outcomes. It can be a single outcome or a collection of outcomes. Events are denoted by capital letters such as A, B, C, etc.

Compound Event:
A compound event is a combination of two or more simple events. It involves the occurrence of multiple events simultaneously or in a sequence. Compound events can be classified into three types: independent events, dependent events, and mutually exclusive events.

Independent Events:
Independent events are events in which the occurrence of one event does not affect the occurrence of the other event(s). The probability of independent events can be determined by multiplying the individual probabilities of each event. For example:

- Tossing a fair coin twice: The probability of getting heads on the first toss is 1/2, and the probability of getting heads on the second toss is also 1/2. The compound event of getting heads on both tosses can be calculated as (1/2) * (1/2) = 1/4.

Dependent Events:
Dependent events are events in which the occurrence of one event affects the occurrence of the other event(s). The probability of dependent events can be determined by multiplying the conditional probabilities of each event. For example:

- Drawing cards from a deck: If a card is drawn from a deck and not replaced, the probability of the second event will be affected by the outcome of the first event. For instance, if we draw an Ace of Spades as the first card, the probability of drawing a King of Hearts as the second card will be different compared to drawing any other card as the first card.

Mutually Exclusive Events:
Mutually exclusive events are events that cannot occur at the same time. If one event happens, the other event(s) cannot happen simultaneously. The probability of mutually exclusive events can be determined by adding the individual probabilities of each event. For example:

- Rolling a fair six-sided die: The probability of getting an odd number (1, 3, or 5) on a single roll is 3/6 or 1/2. The probability of getting an even number (2, 4, or 6) on a single roll is also 3/6 or 1/2. These events are mutually exclusive, as an odd number and an even number cannot occur simultaneously.

To summarize, events in probability refer to specific outcomes or combinations of outcomes, while compound events involve the occurrence of multiple events simultaneously or in a sequence. Compound events can be classified as independent, dependent, or mutually exclusive based on the relationship between the events.