15 octacahedra (like dice but with 8 faces rather than 6) are rolled. What is the probability of getting exactly three 8 and two 7?

Q: A six-sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of…

A: Given the die has six faces numbered 1, 2, 3, 4, 5 and 6 The sample space, S= { 1, 2, 3, 4, 5, 6 }…

Q: What is the probability of drawing a King, a queen and a jack from a standard set of 52 cards

A: As Prof. N.G. Das said, "Event: In probability theory, an event is an outcome or a set of outcomes…

Q: What is the probability of drawing a face card (Jack, Queen, or King) or a diamond from a standard…

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Q: If a standard six-sided is rolled, what is the probability of rolling an odd number

A: We have given that,  A standard Six-sided is rolled then the sample space (s) is,  s = {1, 2, 3, 4,…

Q: In a group of 15 people 5 can speak german. If 3 people are selected at random to be sent on a…

A: Total number of persons = 15 Number of persons who speak German = 5 Sample size = 3

Q: A six person committee must be formed from a group of 6 boys and 7 girls. Determine the probability…

A: A six person committee must be formed from a group of 6 boys and 7 girls Total students = 6 + 7 = 13…

Q: In a poker hand consisting of 5 cards, what is the probability of holding 2 aces and 2 kings?

A: In a poker there are total of 52 cards , out of 52 cards a person gets 5 cards.  The number of ways…

Q: When five dice are rolled, what is the probability that at least 4 “ones” come up?

A: five dice are rolled what is the probability that at least 4 “ones” come up?

Q: What is the probability of selecting an even numbered ball or a 4​?

A: Solution: Given: Total number from 1 to 21 = 21 Even numbers are: 2,4,6,8,10,12,14,16,18,20…

Q: If 5 persons are to be seated in a round table, what is the probability that a certain boy and girl…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: Given,in a pack  of 52 cards there are 26 black cardsand 26 red cards .

Q: From a standard deck of 52 cards, one card is selected at random. a.) What is the probability it is…

A: Total number of cards = 52 Number of Heart = 13 Number of clubs = 13 Number of King = 4

Q: In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are randomly…

A: There are total 12 face cards in a deck of cards. Because 3 of each suit. And there are 4 suits. So…

Q: Consider 12 face cards (kings, queens and jacks of hearts, diamonds, spades and clubs). If you…

A: As per given by the question, consider 12 face card and if you randomly draw one card from them.…

Q: What is the probability of getting three queens if you are to draw three cards in a standard deck?

A: We know that standard deck of cards contains 52 cards Out of those 52 cards, 4 are queen cards…

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: in a pack 52 cards we 26 black cards and 26 red cards.

Q: 2. From a group of 12 people, what is the probability that: a) none share a birthday b) at least two…

A: Probability is the measure of likelihood. It is calculated by dividing the number of favorable…

Q: Consider 12 face cards (kings, queens and jacks of hearts, diamonds, spades and clubs). If you…

A: Given Data: The total number of face cards is: n=12 In 12 face cards, there are 4 cards jack and 4…

Q: A closet contains 10 pairs of shoes. If 8 shoes are selected randomly, what is the probability that…

A: We will use a combination here to find the respective probability.

Q: Let a symmetrical coin be tosded 5 times, what is the probability that there are more heads than…

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Q: In a deck of 52 cards, what is the probability ot getting king and Jack in two consecutive draws?

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Q: According to a survey, 68% of the Alabama households own a pet. Suppose we select 12 households at…

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Q: what is the probability of getting a 6 from one draw on a standard deck of cards

A: We know that Total number of cards = 52 Number of cards with 6 = 4

Q: (b) What is the probability that exactly 4 of the same color are drawn?

A: We have given that  A deck of cards contains 24 cards: 10 red cards and 14 black cards. 5 cards are…

Q: What is the probability of 4 heads turning up out of four tosses of the coin if the probability of…

A: The given context follows binomial distribution with n = 4 and p = 0.4.

Q: In a family of 6 children what is the probability there are exactly 4 girls?

A: Solution: 9. Let X be the number of girls and n be the sample number of children. From the given…

Q: If a single die is tossed and then a card is drawn from a deck, what is the probability of obtaining…

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Q: A fair red, green, blue and yellow spinner is spun and a 6-sided die is rolled. Determine the…

A: Given : A fair red, green, blue and yellow spinner is spun Hence, the probability of spinning any…

Q: If 5 cards are drawn from a standard deck of playing cards, what is the probability that exactly 3…

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Q: What is the probability that a hand of 4 cards contains exactly 3 cards that are the same suit?

A: We have to find given probability ...

Q: When two number cubes labeled 1-6 are rolled, what is the probability that the result will be two…

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Q: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

A: In genetics class, 6 students have green eyes, 3 students have blue eyes, and 11 have hazel eyes. If…

Q: What is the probability of drawing four hearts in a row without replacement?

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Q: Given a fair die and a fair coin, what is the probability of rolling an even number and getting…

A: Given that a fair dice and a fair coin is tossed. We have to find probability of rolling an even…

Q: A card is chosen at random from a standard 52-card deck of playing cards. What is the probability…

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Q: If a child is given cards with A, C, D, G, 0, and T on them, what is the probability he or she could…

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Q: The color spinner shown below is equally divided into six with their corresponding colors. What is…

A: Given,The color spinner is divided into six equal parts.

Q: Given a standard 52 cards deck, What is the probability that a player is dealt 3 cards and at least…

A: From the provided information, The total cards in a standard deck = 52 Total ace cards = 4

Q: What is the probability of rolling a number less than 4 or an odd # on a single di?

A: We have to calculate the probability of rolling a number less than 4 or an odd on a single die

Q: what is the probability of getting a total of 8, 9, or 11 when a pair fair of dice is tossed

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Q: In Sipadan, Malaysia, there is a national park where up to 100 dolphins can be found. Suppose we…

A: The total number of dolphins in the park is 100. a. Since the number of female dolphins is 10. The…

Q: 19 octahedra (like dice, but having 8 faces rather than 6) are rolled. What is the probability of…

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Q: If 4 cards are dealta from a standard deck of 52 cards, what is the probability thatthat 3 will be…

A: According to formula of combination, the number of ways to select r objects from n objects is equal…

Q: If eight coins are​ flipped, what is the probability of obtaining at least one head​?

A: Given information- We have given 8 coins. We know that- Probability of getting head (p) = 1/2 = 0.5…

Q: What is the probability of getting 2 of number 6 in 2 dice

A: The number of dice is 2 with 6 numbers.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.