A fair coin is tossed four times. What is the probability of obtaining  A) Exactly one head?

Q: Three unbiased coins are tossed. What is the probability of obtaining (i) two heads, (iii) one head,…

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Q: What is the probability of obtaining twelve heads in a row when flipping a coin? Interpret this…

A: When we flip a coin the probability of getting a head is P(H) = 0.5

Q: What is the probability of drawing a five or a spade from a standard deck of 52 cards? O 13

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Q: (i) How many different samples of 4 can be selected from the 50 disks? (ii) How many of these…

A: here given box contains 50 CD-ROM of which 5 are defective  quality control manager randomly select…

Q: Consider a standard deck of 52 cards. Five cards are randomly drawn by each of three players. (a)…

A: Given that in a standard deck of 52 cards. Five cards are randomly drawn by each of three players.

Q: 3 coins are taored. What is the probability that atleast two heads turn up?

A: Given problem Given that   3 coins are tossed. The probability that at least two heads turn up is…

Q: A fair coin is tossed three times. What is the probability of getting a) exactly two heads (b) at…

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Q: What is the probability of having 2 boys given at least 1 is a boy? (Bayes’ theorem)

A: Let us suppose that, A & B are the two events then following is the formulae for Bayes' Theorem…

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

A: Formula : Binomial distribution is given by

Q: Four cards are to be dealt successively at random and without replacement from an ordinary deck of…

A: Deck of card consists of 13 Spade cards. 13 diamond cards. 13 Club cards. 13 Heart cards.…

Q: a) What is the probability that exactly two patients will arrive in a given hour? b) What is the…

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Q: In tossing 5 fair coins , calculate the probability of obtaining 3 or more heads.

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Q: 6. Compute the probability of tossing a six-sided die and getting a 7.

A: We are given that a six-sided dice is rolled.The number of possible outcomes are:

Q: A cookie is selected at random From a basket containing 12 sugar cookies, 10 mint cookies, 14…

A: Number of sugar cookies = 12 Number of mint cookies = 10 Number of caramel cookies = 14 Number of…

Q: A coin is tossed and a 1-5 spinner is spun. hat is the probability getting heads and án odd number?

A: 1. Count the possible odd numbers from 1-5 compared to the even ones 1, 3, 5 (3 out of 5 numbers)…

Q: Find the probability of getting exactly one head when two unbiased coins are tossed together.

A: To find the probability of getting one head exactly: The possibilities of two unbiased coins tossed…

Q: 18. A fair coin is flipped twice. What is the probability of showing heads on both flips?26. Compute…

A: Hello there! I see that there are two questions given. I am sorry that cannot provide solution for…

Q: What is the probability of getting exactly one head in three tosses of a fa

A: When 3 coins are tossed then the sample space is   S={HHH,HHT,HTH,HTT,THH,THT,TTH and TTT} n(s)=8…

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 a randomly selected person is having brown eyes, given that he is a male Eye…

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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: consider a deck of cards. Suppose we are drawing ten cards with replacement. What is the probability…

A: Probability of drawing face cards is = 1252 = 0.23 So, p = 0.23  n = 10 This follows a binomial…

Q: A spinner is split up into 4 colored areas of the same size: red, blue, green, and yellow. The…

A: Here it is given that A spinner is split up into 4 colored areas of the same size red, blue, green,…

Q: A well-shuffled deck contains 52 cards. Suppose two decks are shuffled simultaneously and two cards…

A: Reviewing information, Cards in a deck =522 cards are drawn from 2 simultaneously shuffled decks

Q: A fair 10-sided die is tossed. What is the probability that the numbers 9 or 7 or 2 are tossed?

A: We are given a 10-sided die.So first we need to find outcomes and their corresponding…

Q: 1. What is the probability of not having a vowel in the alphabet given that it is a letter from the…

A: here ,  total available alphabets  =  26 (A,B,,,,,... ...Y,Z) vowels are A,E,I,O,U  Consonants are…

Q: A fair coin is flipped six times. Calculate the probability of obtaining at least three heads and…

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Q: Suppose that three microchips in a production run of forty are defective. A sample of five is to be…

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Q: 14) A fair coin is flipped twelve times. What is the probability of the coin landing heads up…

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Q: Draw a card nine times from a shuffled deck, with replacement. What is the probability that…

A: We want to find the probability that precisely five of the draws will be face cards Total face…

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: . A lottery game, LOTTOPLUS, is set up so that each player hooses seven different numbers from 1 to…

A: Given : Each player chooses 7 different numbers from 1 to 24

Q: 1. A coin is thrown three times. What is the probability that at least one head is obtained?

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Q: Let two cards be dealt​ successively, without​ replacement, from a standard​ 52-card deck. Find the…

A: Multiplication Rule:Multiplication rule for two dependent events A, and B is given by:

Q: If nine coins are flipped, what is the probability of obtaining at least one tail? |(Type an integer…

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Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards. Find…

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Q: In a class of 25 students, 15 have a part time job. Ten students are selected at random, a) What is…

A: In a class of 25 students, 15 have a part time job. Probability that student have a part time job =…

Q: A card is selected at random in a standard deck of 52 cards. What is the probability of selecting a…

A: The number of cards in a deck is 52. In these 52 cards number of red cards is 26 and number of black…

Q: What is the probability of obtaining at least one head when a coin is flipped six times?

A: Here a coin is tossing 6 times, number of output for tossing a coin is 2( head or tail). If we are…

Q: A hand of 8 cards is chosen at random from an ordinary deck of 52 playing cards without replacement.…

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Q: 2) How many permutations of the word PROBABILITY start with a B and end with a vowel?

A: The number of letters in the word 'PROBABILITY' are 11 where B and I come twice. The number of…

Q: a. What is the probability that exactly 3 of the selected adults believe in reincarnation?

A: Let p be the proportion of adults who believe in reincarnation. Given that p = 0.40 Let X denote the…

Q: A fair coin is flipped 5 times. What is the probability of: a. Getting HTHTH, in that order? b.…

A: According to our guidelines we are supposed to answer only the first three sub parts question if you…

Q: A fair die is rolled four times. What is the probability of obtaining a 5, 3, 5, and 5, in that​…

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Q: In rolling a die, the probability of getting odd number is an example of O independent events O…

A: We have given that,  When rolling a die then the sample space (s) is,  s = {1, 2, 3, 4, 5, 6 } = 6…

Q: Consider a standard standard 52-card deck, with thirteen denomination in 4 suits. Suppose you draw 5…

A: The given information is about the standard 52-card deck. It contains 4 suits and each suit has 13…

Q: What is the probability of selecting a white chip? O .1667 O .33 O .5

A: Given Information: Bowl A contains 2 red chips. Bowl B contains 2 white chips. Bowl C contains 1 red…

Q: 17. If six coins are tossed simultaneously, find the probability that three fall h

A: From the given information, 6 coins are tossed simultaneously and the probability of getting a head…

Q: A 4-letter word is selected at random from the set of letters = {a,b,c,d,e}. What is the probability…

A: Consider the sample space of an experiment as S=a,b,c,d,e. The number letters in the sample space is…

Q: 2) Compute the probability of tossing a six-sided die and getting a 7.

A:

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.