roulette is a casino game where a ball spins around a wheel which has 38 numbered slots. if a player bets $1 on a specific numbered slot, they either win $35 (ie a net gain of $35) if the roulette ball stops in that slot, or lose the bet of $1 if it does. Assume that each roll of the roulette ball is equally likely to stop in any of the 38 slots. Layla decides to repeatedly make bets of $! on the roulette wheel.
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.
roulette is a casino game where a ball spins around a wheel which has 38 numbered slots. if a player bets $1 on a specific numbered slot, they either win $35 (ie a net gain of $35) if the roulette ball stops in that slot, or lose the bet of $1 if it does. Assume that each roll of the roulette ball is equally likely to stop in any of the 38 slots.
Layla decides to repeatedly make bets of $! on the roulette wheel.
a) What is the
b)What is the probability that Layla wins for are the fairest her time on or after this 68th bet?
c) what is the probability that Layla has made a positive net gain of winning after 37 bets?
d) if you wanted to estimate the possibility that Layla won at least 10 times out of 182 bet as P(Z>=z) (using the continually correction) where Z – N(0,1) is the standard normal random variable, the variable of set that you should use would be z= a / (b)1/2
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