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Probability Formula Probability Formula Probability as the name suggests deals with uncertainty. In mathematics this is calculated and the process is called as probability. It is one of the most important concepts of mathematics. Solving probability problems is not easy but with good probability help from expert tutorvista tutors makes it easy and simple to deal with. It includes concepts and formulas and how to solve problems using the formula. These all concepts are explained to you by our tutors with step by step explanation. Get your probability help from expert tutors now! Free Probability Help Online Get free probability help online from tutorvista tutors. You can undergo a free demo session and experience our tutoring. Tutorvista also provide you free math answers online and thus you can achieve a learning online free of cost. Our tutors are available round the clock and so you can gain learning anytime from experienced and trained tutors. Multiplication Rule of Probability Know More About Answers To Math Problems Math.Tutorvista.com Page No. :- 1/4 We have already proved that if two events A and B from a sample S of a random experiment are mutually exclusive, then In this section, we examine whether such a rule exists, if '' is replaced by '' and '+' is replaced by 'x' in the above addition rule. If it does exist, what are the particular conditions restricted on the events A and B. This leads us to understand the dependency and independence of the events. Example : A bag contains 5 white and 8 black balls, 2 balls are drawn at random. Find a) The probability of getting both the balls white, when the first ball drawn, is replaced. b) The probability of getting both the balls white, when the first ball is not replaced. Answer: a) The probability of drawing a white ball in the first draw is . Since the ball is replaced, the probability of getting white ball in the second draw is also . b) The probability of drawing a white ball in the first draw is . If the first ball drawn is white and if it is not replaced in the bag, then there are 4 white balls and 8 black balls. Therefore, the probability of drawing a white ball in the second draw = . In this case, the probability of drawing a white ball in the 2nd draw depends on the occurrence and non-occurrence of the event in the first draw. he probability simulations learning utilize the concepts of theoretical and experimental probabilities to solve problems involving uncertainty. Learn More Homework Help Online Math.Tutorvista.com Page No. :- 2/4 The probability simulations learning to perform the model of real-world situations involving uncertainty. We can conduct probability simulations of the results for many problems of objects we pick should have the same number of results as the number of possible results of the problem, and all outcomes should be equally likely. Theoretical and Experimental Probability Theoretical probabilities of operations are performed in mathematically and describe what should happen. Experimental probability is calculated using data from tests or experiments. Experimental probability is the ratio of the number of times an outcome happened to the total number of events or trials. This type of ratio is labeled as the relative frequency. Experimental probability = (Frequency of an outcome)(Total number of trials) Empirical study or learning: It is helpful to perform an experiment repeatedly, collect and combine the data, and analyze the results. This is known as an empirical study or learning. Math.Tutorvista.com Page No. :- 4/4 Thank You Math.TutorVista.com