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Permutations are a big part of probability, passwords, and even phone numbers. It is with a permutation calculation that the number of possible 7 digit phone numbers is found. Answer and Explanation:1 The formula for a permutation where terms can repeat is this one. ...
The numbe of choice here is given be . Multiplying these together and dividing by the numberof all possible hands we get (b)We can generalize the reasoning behind the xpression in part a) to write a formula for the probability of being dealt exactly i kings .there are ways of choosing...
in 5 dots- (6,6) - this means that the first die results in 6 dots and the second die results in 6 dotsThere are 6 total outcomes where the resulting numbers of the dice are equal.Using the formula for theoretical probability:Probability =(nmo)/(trtalmolol)Thus, the answer is %. ...
What are the uses of probability in everyday life? What are the terms used to represent the chance of something happening? Is the probability of an event a negative number? What is the formula of probability? Check out our other courses ...
The formula for the law of total probability is as follows: P(A) = P(E1)P(A/E1) + P(E2)P(A/E2) + ... + P(En)P(A/En). It finds use in decision analysis, risk assessment, reliability engineering, and queuing theory to calculate the posterior probability of hypotheses, evaluate...
Probability has a popular meaning that is not the same as the mathematical meaning. As a small-business owner, you may act on hunches, guesses and instincts. After such actions, you might even say you thought a certain outcome was "probable." However, the mathematics of probability has ...
Instead, we can collect random samples from the population and make inferences about the population standard deviation usingSample Standard Deviation.The formula for sample standard deviation is Image by author Why use n-1 for sample standard deviation?
Bayes' Theorem, named after 18th-century British mathematician Thomas Bayes, is a mathematical formula for determiningconditional probability. Conditional probability is the likelihood of an outcome occurring based on a previous outcome in similar circumstances. Bayes' Theorem provides a way to revise exi...
The addition rule for probabilities describes two formulas, one for the probability for either of two mutually exclusive events happening and the other for the probability of two non-mutually exclusive events happening. The first formula is just the sum of the probabilities of the two events. The...