athematics is a topic that shapes a student’s entire academic career. Mathematically gifted students automatically learn to solve problems and apply logic. Math is a subject that takes a significant amount of mental work. Mathematically gifted students have a more developed brain, with superior thinking and problem-solving abilities than their peers. Mathematicians with a higher degree can work in a range of fields. Mathematics is one of the most important disciplines to possess in order to obtain a good. Mathematics is a fascinating and pleasurable topic. Mathematics is simply a set of numerical questions.

Students’ understanding of mathematics is continually changing. Students are always learning new ways to tackle issues. In each chapter, there are numerous mathematical problems. Students must fully comprehend all of these chapters in order to excel in this subject. People use mathematics on a daily basis in their real lives. Mathematics is a discipline that aids people in calculating and formulating vital data. Each topic in mathematics has its own importance. Students can learn about new ways to solve different mathematical problems. Since mathematics is all about problems students develop good problem-solving abilities. This is the reason why mathematics as a subject is so helpful to them.

Probability gives us an idea of the chances of an event occurring. It tells us about the possibility of an outcome. Questions related to **probability** are asked in all competitive examinations. The throwing of a fair coin is a simple illustration. There are a lot of examples where probability is used to find the outcomes of a situation. Probability directly means chances of a situation to happen and thus it does reflect a guaranteed event.

The impact of the projected likelihood of a wider Middle East conflict on oil prices, which has repercussions throughout the economy, is an example of how probability theory is used in equity trading. Probability is used to develop games of chance so that casinos may generate a guaranteed profit while also providing frequent payouts to players to motivate them to keep playing. Reliability is another important use of probability theory in daily life. Reliability theory is used in the design of many consumer products, such as vehicles and consumer electronics, to minimize the risk of failure.

On the basis of the existence of a past occurrence or outcome, **conditional probability** is defined as the potential of an event or outcome occurring. It’s calculated by multiplying the likelihood of the previous occurrence by the probability of the subsequent, or conditional, event. The major distinction between probability and conditional probability is that probability is the possibility of an event occurring, whereas conditional probability is the probability of an event occurring after another event has already occurred. When some events are dependent on the occurrence of another event, conditional probability is required. Thus it is important for students to know about the difference between probability and conditional probability.