When playing American​ roulette, the croupier​ (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to​ 36, with two additional slots labeled 0 and 00 that are painted green. Assume a single spin of the roulette wheel is made. Find the probability of winning with the given bet.   An example of a lineline bet is betting that the marble will land in a slot numbered 3, 4, 5, 6, 7, or 8   The probability of winning with the given line bet is

Q: You are dealt one card from a​ 52-card deck. Find the probability that you are dealt a heart or a…

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Q: You are dealt one card from a standard 52 card deck . Find the probability of being dealt the two of…

A: A card is dealt from a standard deck of 52 (= n) cards.

Q: You are dealt one card from a standard 52-card deck. Find the probability of being dealt the jack of…

A: Probability of an event = number of favorable outcomes of an event / number of total out comes

Q: An American roulette wheel contains 38 numbers of which 18 are red, 18 are black, and 2 are green.…

A: The odds in against of event A is (1 - P(A))/P(A).

Q: A card is dealt from a well-shuffled deck of 52 cards. Count ace as high. Find the probability the…

A: At most an eight means, 8 or less.  Given ace is high.  So 8 or less means 2,3,4,5,6,7,8 in each…

Q: Find the probability of a family having four boys in a row.

A: There are two genders for a baby either it’s a boy or a girl. So, there are a total two events –…

Q: When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38…

A: From the given information, Consider, A be the event that shows the marbles land with the slot…

Q: The question is, find the probability and the odds of winning the six- number bet in roulette. The…

A: Let,  S : Sample space of a roulette bet. A : Event space of a six number bet in roulette A roulette…

Q: In American roulette, the wheel contains the numbers 1 through 36 alternating between black and red.…

A: The numbers 1 through 36 alternate between the colors black and red on the roulette wheel in…

Q: Find the probability of being dealt an "aces over kings" full house (three aces and two kings).

A: Given Information: To find out the probability of being dealt an "aces over kings" full house (three…

Q: One card is selected at random from a deck of cards. Determine the probability that the card…

A: Given that one card is selected at random from a deck of cards.

Q: A single card is drawn from a deck. Find the probability that the card is either red or a face card.

A: Given a single card is drawn from a deck. To find the probability that the card is either red or…

Q: A card is drawn at random from a deck of cards. Find the probability of getting the King of heart.

A: Answer#- A card is drawn at random from a deck of cards.                Find the probability of…

Q: Twenty horses ran in the 2016 Kentucky Derby. The Trifecta bet involves picking the first three…

A: given data  twenty horses participate in race, pick first 3 finishers in order no. of outcomes to…

Q: Kaitlin has a bag with 8 balls numbered 1 through 8. She is playing a game of chance. This game is…

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Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with…

A: Given Total number of cards in a deck(n)=52

Q: Given an arbitrary input variable X and a binary output variable Y, we are interested in predicting…

A: Given information: The proportion of 0s in our sample = 0.50 P(Y = 1) = P(Y = 0) = 0.50

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

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Q: you deal a hand of five cards from a regular deck of playing cards. find the probability of dealing…

A: In a standard deck of cards, there is a total of 52 cards. There are four suits: Spades, Diamonds,…

Q: Tereasa is about to draw a card at random from a standard deck of 52 playing cards. If she draws a…

A: A standard deck consists of 52 cards. n(S)=52 If she draws a red card or a face card she will win a…

Q: In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who…

A: In roulette, the numbers from 1 to 36 are evenly distributed between red and black. A player who…

Q: You are dealt one card from a 52-card deck. Find the probability that you are dealt a club or a…

A:

Q: Draw two cards from a deck. Find the probability of drawing an ace with draw #1, then with draw #2.…

A: Solution: A standard deck of cards contain 52 cards. Among those 4 are ace cards.

Q: A card is randomly drawn from a deck of 52 cards. Find the probability of drawing a red card or a…

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Q: A card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card…

A: GivenTotal no.of cards in a deck = 52No.of king card in a deck = 4No.of ace cards in a deck =4

Q: A dice is thrown 5 times. Find the probability of getting a 4, a 5 and three other numbers.

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Q: A card is drawn at random from a pack of 52 playing cards. Find the probability that the drawn card…

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Q: Karey has three movie choices. She can choose between a comedy, a drama, or a thriller. She will…

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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. 

Tree diagram

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.