Suppose there are two full bowls of cookies. Bowl #1 has 10 chocolate chip and 20 oatmeal, while bowl #2 has 20 chocolate chip cookies and 10 oatmeal cookies. Our friend Bob picks a bowl at random, and then picks a cookie at random. We may assume there is no reason to believe Bob treats one bowl differently from another, likewise for the cookies. The cookie turns out to be an oatmeal cookie. How probable is it that Bob picked it out of Bowl #2?

Q: Suppose that a family has 11 children. Which of the following outcomes is most likely to occur?…

A:

Q: Mrs Reena has regularly contacted three companies (A, B and C) for her quarterly servicing of…

A: Let probability of no problem with aircons be N, and that of Problem be P. P(N|A) = 0.8 , P(N|B) =…

Q: In two jars (jar-1, jar-2) containing black and white balls, the probability of drawing a white ball…

A: Answer can be given using concept of basic probability.

Q: One urn, U1, contains one blue ball (labeled B1) and three red balls (labeled R1, R2, and R3). A…

A: We can get two blue balls for one case only   1) Urn U2 was chosen and we got two blue balls.…

Q: A class has ten girls and three boys. If the teacher randomly picks ten students,what is the…

A:

Q: n a baseball game, Jim is the pitcher and Joe is the batter. Suppose that Jim can throw either a…

A: (a) Define the alternatives for this situation.  Jim's alternatives: Throw curve or fast ball.…

Q: You and your friend are playing a betting game. You are presented with 20 cards, all in face-down…

A: From the given information, Total cards are 20 Here , The number of cards with letter A are  => 9…

Q: You have a finicky parrot and a bag of four kinds of parrot treats. This bag has 6 sweet potato…

A: Consider an infinite sequence of Bernoulli trials with probability of obtaining a success in a trial…

Q: Jaxon remembers that the passcode contains the digits 1, 2, 3 and 4, but he cannot recall their…

A: The objective of this question is to find the probability that Jaxon will enter the correct code if…

Q: (c) Let A be the event that the sum of the two numbers tossed is 4 and B be the event that the sum…

A:

Q: Tollowing A government offic charge of allocating social programs throughout city of Vancouver. He…

A: Given: Sample size (n) = 122 Number of success (x) = 20 Confidence level = 0.95 Sample proportion =…

Q: A fair die is rolled. If it comes up 1 or 2 you win $2. If it comes up 3, 4, 5, or 6 you lose $1.…

A:

Q: A game is played with an unusual eight-sided die.  Two faces of the die show a cat, four faces of…

A:

Q: We have two dice. One is fair and the other is biased. The biased die is weighted to land 6 on…

A: Define the events as follows: F : Rolling a fair die F' : Rolling a biased die S : Getting 6 in a…

Q: Problem 2. Yin and Yang play table tennis. For each point one of the players serves. The winner of a…

A: Given information: The winning probability when Yin serves = p The winning probability when Yang…

Q: 3. A speaker is talking about the principle of charity, and suggests that a person who is truly…

A: Given that, A speaker is talking about the principle of charity, and suggests that a person who is…

Q: 6. Anna has two coins. One is fair (probability 1/2 of heads and 1/2 of tails) and the other is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: A three-finger Morra game is a game in which two players simultaneously show one, two, or three…

A: Given - A three-finger Morra game is a game in which two players simultaneously show one, two, or…

Q: crocodile choose the same location, the chance of the crocodile catching the zebra is 90%. If they…

A:

Q: This problem is courtesy of Mr. Lange’s friend Paul. The Queen of Hearts is a card game played at a…

A: Solution: From the given information, Mr. Lange wishes to purchase 400 of the 1600 tickets sold.

Q: A study was conducted to see whether participants would ignore a sign that said, "Elevator may stick…

A: Explanation:Here, the experimenter controls the presence/absence of the confederates, as its effect…

Q: P(Sum of the two dice is 8)= P(Sum of the two dice is 10)= P(Sum of the two dice is not 6)= P(Sum of…

A: In the rolling of two fair dice, we have to calculate the indicated probability. First we will find…

Q: In a game of chance, a player has 3 tries to get a '6' on the dice roll. If he succeeds directly, he…

A: Given: Number of tries (n) = 3 Probability of appearing 6 (p) = 16 Amount of bet = 3 Amount earned…

Q: Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains…

A: Hi, Thank you for posting the questions. As you have posted more than one question and your first…

Q: s each point that Yang serves with probability q. nd the proportion of points that are won by Yin nd…

A: Given, Yin and Yan play table tennis.

Q: Two fair dice, each with at least 6 faces, are rolled. On each face of each die is printed a…

A: Consider the option A (16) The two dice can have 10 and6, 9 and 7, or 8 and 8 faces. Then, the…

Q: Each night, a princess is equally likely to sleep on anything from 6 to 12 mattresses. On half of…

A: The objective of this question is to find the expected number of mattresses the princess slept on…

Q: Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has…

A: Given that Clara's random guesses for the suit of each card were drawn from a standard deck of 52…

Q: Mr. Andrews, a grape merchant, inquires about a certain wine that he tastes at a party. The host…

A: Let's event E1 represents that the vine comes from north and event E2 represents that the vine comes…

Q: 1. Are the two trials independent or dependent? Give reasons to support your answer 2. Draw a…

A:

Q: On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are Sophomores, 35% are…

A: Given that, On Mr. Casper’s debate team at Thunderbird High School, 20% of the members are…

Q: Hangman is a paper and pencil guessing game for two players. One player thinks of a word, phrase or…

A: a)Only seven guesses are allowed for the player, Hence the word length can be from 4,5,6,7. If the…

Q: From the given sample of 516 people we have 235 people who like the old recipe and 281 people like…

A: It is an important part of statistics. It is widely used.

Q: I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e.,…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

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.