A simple probability problem is a mathematical question that involves determining the likelihood or chance of a particular event occurring. These problems typically involve calculating the probability of an outcome based on a set of given information and using basic probability concepts such as sample space, events, and outcomes.
To solve a simple probability problem, you first need to identify the sample space, which is the set of all possible outcomes. Then, determine the total number of outcomes and the number of outcomes that satisfy the event you are interested in. Finally, calculate the probability by dividing the number of favorable outcomes by the total number of outcomes.
Simple probability involves calculating the probability of a single event occurring, while compound probability involves calculating the probability of multiple events occurring together. Simple probability uses basic probability concepts such as sample space and events, while compound probability uses more advanced concepts such as conditional probability and independence.
You can check your solution to a simple probability problem by using the formula P(A) + P(A') = 1, where P(A) is the probability of the event occurring and P(A') is the probability of the event not occurring. If the sum of these two probabilities is equal to 1, then your solution is correct.
Simple probability has many real-life applications, such as predicting the weather, determining the likelihood of winning a game, calculating the chances of a medical treatment being successful, and estimating the risk of an event occurring in a business or financial setting. It is also used in fields such as insurance, sports, and gambling.