The spinner below shows 10 equally sized slices. Mai spun the dial 50 times and got the following results. Outcome White Grey Black Number of Spins 21 17 12 Fill in the table below. Round your answers to the nearest thousandth. (a) Assuming that the spinner is fair, compute the theoretical probability of landing on white. (b) From Mai's results, compute the experimental probability of landing on white. (c) Assuming that the spinner is fair, choose the statement below that is true: As the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. O The experimental and theoretical probabilities must always be equal. As the number of spins increases, we expect the experimental and theoretical probabilities to become farther apart.
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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