Q.1: - Toss a fair coin three times. What is the probability of the following: - 1. Observing at least one head? 2. Observing at least one tale?

Q: What is the joint probability of getting a head followed by a head in a consecutive coin toss? 0.025…

A:

Q: in 2 tosses of a coin, how many and what are the possible cases? And in 3 launches? What is the…

A: Given2 coins tossed  total possible outcomes are{(H,H),(T,T)(H,T)(T,H)}Total possible out comes =4

Q: In an experiment, a fair six-sided number cube, numbered 1 through 6, was rolled 2 times to…

A: In the 10 trials given above only on Trial 7 the first roll is 4 which is an even number and the…

Q: 2. If a hockey team loses 33% of the games they play, what is the probability that this team will…

A: Given a hockey team loses 33% of the games they play so they wins 67% of the games.

Q: 1. Given the following shaded Venn Diagram, which probability is being represented? A 1. P(B n not…

A: The shaded region is completely present in circle B

Q: Could you help me solve and understand number 2 (a) and (b) ?

A: It is given that p = 0.15 and n = 10. The probability mass function of the binomial distribution is…

Q: 18. What is the probability of drawing a diamond or a spade card from a standard deck of cards and…

A: Solution

Q: Do you know what the message below says? If the 20 marbles used to spell the word are placed in a…

A:

Q: 1. What is the probability of the spinner, 1 a. landing on a 3? b. landing on a 1? c. landing on a…

A: Union =U={1,1,2,3,4,4}  Note: According to Bartleby guidelines expert solve only one question and…

Q: What is the probability of flipping a single coin and having it land heads up and tails up O 1/4 O…

A:

Q: A standard deck of 52 cards is shuffled, and one card is drawn. What is the probability th the card…

A: We know, A standard deck of cards has four suites: hearts, clubs, spades, diamonds. Each suite has…

Q: 1/2 1. fa coin is flipped twice, what is the probability that the result is hends both timer?

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: and are two events in sample S. Given that 1 and P(A and B)= 6. Find P(A or B) 12 P(A)= „P(B)3= 215…

A: Given P(A) =2/3 P(B) =1/6 P(A and B) =1/12 Find P(A Or B) =?

Q: Solve the following counting and probability problems. (a). How many permutations of the letters in…

A: Permutations and Combinations The various number of ways an object from a set can be arranged either…

Q: 4. According to the school board, 48% of all the voters in the district support the referendum.…

A: From the provided information, 48% of all the voters in the district support the referendum. a)…

Q: If you pick a card at random from a well shuffled deck, what is the probability that you get a face…

A: Solution  Given That, If you pick a card at random from a well shuffled deck, what is the…

Q: 12. If a fair, siİx-sided die is rolled twice, what is the probability it will land on 1 and then 6?…

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Q: What is the probability of flipping 3 coins and having all three land on heads (make a tree diagram…

A:

Q: 11. Mary rolls a die once. If event A is getting an odd number, and event B is getting an even…

A: Given that : A=the event of getting an odd number B=the event of getting an even number   So A={1,…

Q: Of 100 students, 50 are taking Calculus, 43 are taking French, and 10 are taking both Calculus and…

A:

Q: 3.3 Solve the below problem: The National Fire Incident Reporting Service stated that, among…

A: Classical Definition of Probability: If there are n mutually exclusive, exhaustive and equally…

Q: 5. What is the probability of not spinning either a 7 or a 3. Answer in decimal form and round to…

A: Given - To do- Find the probability of not spinning either a '7' or a '3'

Q: 5. Using the assumptions in question 4, if the Oxnard College softball team plays three games, what…

A: Probability, p = 50% = 0.50Sample size, n =3

Q: 4. An electrical system consists of four components as illustrated. What is the probability that the…

A: Here Given 4 Components A,B,C,D  And Its working Probablity  P(A)=0.9 P(B)=0.7 P(C)=0.8 P(D)=0.95

Q: What is the theoretical probability of a coin landing tails up? O 1/3 5/6 O 1/2 O 1/4

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: All of the letters in the word Mississippi are written on separate pieces of paper and put in a hat.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 4.14. Three boys and three girls are lined up in a row. (a) What is the probability of all three…

A:

Q: In an experiment, a fair six-sided number cube, numbered 1 through 6, was rolled 2 times to…

A: From the sample space number of desired outcomes are (2,5) (2,6) (4,5) (4,6) (6,5) (6,6). Therefore…

Q: 12.18. There are four hotels in a certain town. If 3 men check into hotels in a day, what is the…

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Q: Given that a randomly chosen card from a standard deck of 52 cards is less than 7, what is the…

A:

Q: Suppose a coin with Pr[H]=3/4 is flipped 4 times. Answer the following questions: What is the…

A: Consider,P(H) = ¾,P(T) = ¼N = 4 (four times coin flipped)Thus,

Q: A bag of M&M's has 5 red, 4 green, 7 blue, and 8 yellow M&M's. What is the probability of randomly…

A:

Q: 4. In a single throw of pair of coins, what is the probability that only one head will appear? d. b.…

A: Given that  A single throw of pair of coins Then there 4 outcomes  Possible outcomes=S=(HH,HT,TH,TT)…

Q: 1. Obtain the probability of adding up six points if we toss three distinct dice.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: (a) How many different ways for three different boxes ordered in a row? (b) How many different…

A: HERE AS PER POLICY I HAVE CALCULATED 3 PARTS  here use basic  probability , binomial distribution

Q: Q. 6 In a country license plates consists of four letters followed by three digits. Assuming that…

A: There are four letter words with repetition and there are 26 words in alphabet, so the number of…

Q: (a) What is the value of k? (b) Find E(X) and o (X). (c) Suppose the number of events students take…

A:

Q: 2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball?…

A:

Q: Suppose a coin with Pr[H]=4/5Pr[H]=4/5 is flipped 4 times. Answer the following questions: 1. What…

A: (1)   From the given information, a coin is flipped 4 times and P(H)=4/5 and P(T)=1/5.   The…

Q: At a certain university, 4% of men are over six feet tall and 1% of women are over 6 feet tall.…

A: Given: Let M denote Men W denote women O denotes over 6 ft tall. P (M) = 0.60 P (W) = 0.40 P (O | M)…

Q: What is the theoretical probability of rolling a 3 on a number cube? O 1/2 O 1/4 O 1/3 O 1/6

A:

Q: Suppose you will toss a single day. Answer the following. A) What is the probability of the number…

A: If a single dice is toss, then the sample space is given by: S=1, 2, 3, 4, 5, 6 Define an event X :…

Q: 1) What is the probability that the first card is red and the second is black? Write your answer as…

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: (1) Suppose two dice are rolled. What is the probability: a) The first die lands on an even number…

A: We can solve this using given information

Q: 6. Suppose three fair coins are tossed, and the number of heads that appear is recorded. What is the…

A: According to the given information, we have Three fair coins are tossed. Given that number of heads…

Q: 27. For the item 26, if a chair chosen randomly and found to be defective, what is the probability…

A: Let A1, A2, ... , An be n events. The events are mutually exclusive and exhaustive events with P(Ai)…

Q: a.) If a coin is tossed 3 times, what is the probability that all three tosses come up head given…

A: Note:According to Bartleby Expert guidelines, we can answer only one question and rest can be…

Q: 45. If a pair of dice is thrown, and the probability that the sum of the digits is neither 7 nor…

A: Formula : Probability = number of favourable outcome/  total number of outcome

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.