For each experiment, determine whether events A and B are independent or dependent. Experiment Events Independent Dependent Event A: The first and reinserted into the deck. The deck is selection is а б. A deck contains 10 cards numbered 1 through 10. A card is randomly selected shuffled. Then another random selection is made. Event B: The second selection is a 5. Event A: Boris randomly selects a sock from a drawer containing black socks and brown The first socks, and puts it on. Then another random selection is made from the remaining socks. selection is black. Event B: The second selection is brown. Event A: The older child has red hair. A family has two children. Event B: Both children have red hair. Event A: The first roll is a 2. A number cube with sides labeled 1 through 6 is rolled twice. Event B: The second roll is a 1. A litter of puppies consists of black puppies and white puppies. A puppy is randomly selected and removed from the selection is Event A: The first litter. Then another random selection is a white made from the remaining puppies. puppy. Event B: The second selection is a black puppy.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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