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

Q: A paper bag contains three dice.: Dice X’s faces are numbered 1, 2, 3, 4, 5, 6; Dice Y’s faces are…

A: Number of dice (X, Y,Z) = 3 Numbers on dice X = 1, 2, 3, 4, 5, 6 Numbers on dice Y = 2, 2, 4, 6, 6,…

Q: a. A jar has 60 candies, 26 are Chocolate candies, 15 are Strawberry Candies, 19 are Orange Candies.…

A:

Q: 3. A purse contains two 5-cent coins, three 10- cents coin and one 50-cent coin. A coin is chosen at…

A: Introduction: Total number of coins in the purse is 6 (= two 5-cents + three 10-cents + one…

Q: A. Throw a coin 4 times and calculate the probability of getting a picture for : one two , three…

A: A Bernoulli trial is a random experiment which has exactly two possible outcomes viz. Success and…

Q: Find the probability of getting a numbered card when a card is drawn from the pack of 52 cards.

A:

Q: 2. Calculate the probability of families with the following children: a. 2 boys and 4 girls? b.1 boy…

A: given data  let family has n children P(boy ) = p = 0.5 x = no. of boys.  P9x=X) =…

Q: 2. Find the probability that in tossing a fair coin three times, there will appear (a) 3 heads, (b)…

A:

Q: pair of fair dice is tossed. Find he probaointy of getung a) A total of 8 b) At most a total of 5

A: 3. Since , the pair of dice is rolled. Therefore , the sample space is  given by ,…

Q: Find the probability of obtaining a 4 in each of two successive tosses of a pair of dice

A: In a dice, the probability of getting any number is equally likely Hence, P( first toss is 4) = 1/6…

Q: Consider a roll of two 4-sided dice. A. How many members will the outcome set have? B. If the roll…

A: In rolling of two 4-sided die, the possible outcomes we…

Q: 10. Ron was playing a game of blackjack. Assuming the 52-card deck was randomly shuffled, what is…

A: To find the percent probability that he will be dealt a face card followed by a two in any suit:

Q: 3. A fair die is rolled five times. Find the probability that one shows twice, three shows twice and…

A: Given that dice is fair. So, there are 6 equally likely outcomes for each of the five rolls. As…

Q: 1. One card is selected at random from a deck of cards. Find the probability that the card selected…

A: Given from A card a is selected at random from a pack of cards      A deck of card contain 52 cards…

Q: Find the probability of getting exactly 12 out of 30 questions on the true or false questions.

A: Ans: Find the probability of getting exactly  12 out of 30 questions on the true or false question.

Q: 6. Toss 2 fair dices and observe the out comes , add the outcomes to get the sum of two outcomes.…

A: Here, two fare dice are rolled.The total number of outcomes in the sample space be n(S) = 62 =…

Q: Two fair six-sided dice are rolled. Find the probability of the event that one die is a five.

A: When a die is rolled then there are 6 outcomes.When two dice are rolled then there are 62=36…

Q: 2. In a game, you have to roll a six-sided die and flip a coin. What is the probability of getting a…

A:

Q: 2. In a game, you have to roll a six-sided die and flip a coin. What is the probability of getting a…

A: Given Dice is thrown and also coin throw

Q: What is the probability that at least one dice will different from the other two? Leave your answer…

A: It is assumed that three dice are rolled. The total number of outcomes in the sample space be n(S) =…

Q: rolling a pair of dice, what is the probability that the sum is 12 or at least one die shows a 2?

A:

Q: What is the probability of getting either a three or a four on at least one the two dice?

A: From the provided information, Total outcomes = 36

Q: A box contains 5 black, 4 green, 5 yellow and 6 blue balls. A ball is selected at random, what is…

A: The probability that the selected ball is blue or green is obtained below: The number of black balls…

Q: 1. Suppose that two fair dice are rolled. If you bet $1 on rolling a sum of 11, how many dollars…

A: Sa per bartleby guideline expert have to answer first question only.

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.