1. Rennin has a pair of dice and he throws them on the table then, what is the probability that the sum of the numbers appears is 6?

Q: 1. If you roll two dice, what is the probability of throwing "snake eyes" (each die showing one dot…

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Q: 2. The weather in a given area is observed for 5 days. If the occurrences of rain each day are…

A: Given,n=5p=0.4q=1-p=1-0.4=0.6X=no.of days have rain X~Binomial (n=5 , p=0.4)P(X=x)=cxn pxqn-x ;…

Q: 1- You take a trip by air that involves three independent flights. If there is an 85% chance each…

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Q: 2) Suppose 15% of cereal boxes contain a prize. You are determined to buy cereal boxes until you win…

A: Given : p = 15% = 0.15 Let X be the number of cereal boxes. You are determined to buy cereal boxes…

Q: 1) What is the probability of picking 8 blue balls and 17 red balls from boxes with even numbered…

A: There are 50 boxes labeled with number from 1to 50.in Each boxes containing one blue ball and one…

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

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Q: 3. Suppose, you are rolling two regular six-sided dice and two four-sided dice together. Let's say,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. An urn contains 6 red, 7 blue, and 5 green balls. You draw out two balls and they are different…

A: As per the policy I can solve only first question for you, Please repost the remaining question…

Q: 10.(-is) Five people are in an endurance race. Suppose you randomly pick and bet on two of them.…

A: According to the classical definition of probability, the probability of an event is the ratio of…

Q: 1. If two fair dice are rolled, what is the probability that the sum will be greater than or equal…

A: We first make a table for the outcomes when two dice are rolled. sum Outcomes Number of…

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: (a) What is the probability that their date has been interrupted by 8:00pm? (b) If the number of…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: 2. If one card is drawn from an ordinary deck of cards, what is the probability that: a) it will be…

A: no.of heart cards=13no.of club cards=13no.of ace card=4no.of face cards=12Total no.of cards=52

Q: 4. Goddard, the captain of West Indies team had made it a rule to call heads every time, the toss…

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Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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Q: 1. Suppose we have a bag with 20 marbles in it: 12 red, 6 blue, and 2 white. a. If we reach in and…

A: Given, A bag contains 20 marbles. 12 red, 6 blue and 2 white marbles Probability of an event is…

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: Let x follows binomial distribution with parameters n = 6 and p = 0.38   The pdf of binomial…

Q: 2. In tossing two fair dice, event A represents having an even result on the first die and event B…

A: Given Information: Two fair dice are tossed. Event A indicates an even number on the first die and…

Q: #15 Katie will roll this 12-sided dice 2 times. What is the probability that she will roll a 3 or a…

A: We know that, the values 1,2,3 & 4  satisfy the rules, and the probability is: P=(4*112)n…

Q: 1. What is the probability the person is 18 to 24 years old? 2. What is the probability the person…

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Q: Player 1 tosses N + 1 times a fair coin and player 2 tosses N times a fair coin. Player 1 wins the…

A: It is given that , player 1 tosses the coin N+1 times and player 2 tosses the coin at N times. Part1…

Q: 1. If two balanced dice are rolled, what is the probability that the sum of the two numbers that…

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Q: What is the probability that when using an unfair coin, with a head = 2/3 and a tail 1/3: a. you…

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Q: 4. A pair of dice is rolled. What is the probability that the sum of the numbers rolled is a cube?…

A: 4. When a pair is of dice is rolled, the possible outcomes are  Thus, the total number of possible…

Q: 6-) If three balls are randomly drawn from a bow containing (6) white and (5) black balls, what is…

A: Number of white balls are 6 and number of black balls are 5, so total number of balls are 6+5=11. 3…

Q: 2) You are dealt 4 cards from a 52 card deck (without replacement). What is the probability that at…

A: Given: Number of cards dealing with = 4 Total number of cards = 52 Total number of clubs = 13

Q: What is the probability that when using an unfair coin, with a head = 2/3 and a tail 1/3: a. you…

A: Since you have posted a question with multiple sub-part, we will solve first three subparts for you.…

Q: 7. A container has 5 red dice, 3 green dice and 4 black dice. If you randomly pick 2 marbles from…

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Q: 4.8) Suppose that 5 percent of men and 0.25 percent of women are color-blind. A person is chosen at…

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Q: A pair of dice consisting of a six-sided die and a four-sided die is rolled and the sun is…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Two cards are drawn at random on an ordinary deck of cards. What is the probability that both of…

A: GivenTotal no.of cards = 52No.of kings card in deck = 4No.of diamond cards in a deck = 13

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: 4. You have 6 history books, 5 English books, 4 mathematics books, and 3 chemistry books which you…

A: Let us assume there are three girls A, B and C sitting beside each other. The different ways in…

Q: What is the probability that the family has four children? b) What is the probability that the…

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Q: Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

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Q: 1) A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up…

A: Binomial distribution:  Let p = probability of success on a single trial and n= number of trials.…

Q: 13.) Suppose we throw 2 dice. Given that the sum of the dice is 10, what is the probability that one…

A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2) (3,3)…

Q: The probability that a corporation will establish a warehouse in Sta. Rosa, Laguna is 0.7, the…

A: (a)   Obtain the probability that the industry will locate in both the cities.   The probability…

Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

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: An insurance company has determined that each week an average of nine claims are filed in their…

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Q: What is the probability that at least one of a pair of fair dice lands of 5, given that the sum of…

A: Given At east one of a pair of fair dice lands of 5, The sum of the dice is 9

Q: 5. Suppose box A contains 3 red balls and 2 blue balls and box B contains 4 red balls and 1 blue…

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Q: 5. Clarice has 7 new CDs; 3 are classical music and the rest are pop music. If she randomly grabs 3…

A: Clarice has 7 CD's in which 3 are of classical music and 4 are of pop music. She randomly selects 3…

Q: 2. A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

A: Formula of probability : Probability =Number of favorable outcomes Toal outcomes

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: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

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Q: 1 then 3 If the probability of an event is probability of its complement is

A: We know that sum property of a event and its compliment is always Equal to 1

Q: Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: According to the provided information, roll the dice repeatedly, and keep flipping it until observe…

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.