Two six sided dice are rolled. What is the expected sum of the face values of the dice? (Use the definition of expected value).

Q: What does combination mean in probability?

A: Combinations in probability are the number of ways to calculate the total outcomes of an event where…

Q: Jack has a bag of marbles for a bag.  There are 30 marbles in the bag, 12 red marbles, 8 blue…

A:

Q: How can I tell whether to use the addition rule or the multiplcation rule when determining…

A:

Q: Suppose the probability of a successful long hit is 0.4. Which approach, the short hit or the long…

A: c) The probability of a successful long hit is 0.4. Which approach, the short hit or the long hit,…

Q: lisa plays a game in which there are only two outcomes. the cost to play the game is 100$. if she…

A: The objective of this question is to calculate the expected value of a single game that Lisa plays.…

Q: A jar contains 4 pennies, 6 nickels and 6 dimes. A child selects 2 coins at random without…

A: Given problem Given that   A jar contains  4 pennies 6 nickels 6 dimes A child selects 2 coins at…

Q: At the Carnival game, there are three 1 dollar bills, one 5 dollar bill, and one 10 dollar bill in a…

A: Probability of an events is computed by taking the ratio of number of favourable outcomes to total…

Q: What are some tips and advice for approximating probabilities with the emperical method?

A: The empirical rule states that if a distribution is unimodal and symmetric i.e. more or less…

Q: Explain the concept of "two-tailed probability"?

A: The concept of two-tailed probability relates to the testing of the hypothesis to study the…

Q: Describe about the Independent Events of probability.

A: In probability, independent events are the ones in which the occurrence of one event does not…

Q: Your favorite team is in the World Series. You have assigned a probability of 61% that they will win…

A: Let us define some events A : team win the championship. B : team lose the championship. E : team…

Q: Define the concept of expected value?

A: The expected value of the random variable is nothing but the mean value of the random variable. It…

Q: Don't use chatgpt or copy paste

A: The objective of this question is to find the probability of a defective item getting through two…

Q: lisa plays a game in which there are only two outcomes. the cost to play the game is 100$. if she…

A: Expected value = Probability of winning * won amount - Probability of losing * lose amount Expected…

Q: 2) What are the two main things you will check to see if the probability assignments are acceptable?

A:

Q: What are the objective and subjective interpretations of Probability?

A: Concept of probability: Probability deals with the likelihood of occurrence of a given event. The…

Q: please show work to understand :)   Suppose I bet $10 on the four numbers 23, 24, 26, and 27 in…

A: Given Information: In a Roulette wheel game, there are 38 spaces out of which 18 spaces are red and…

Q: You roll two fair 6-sided dice.  Define the two events E= sum of the dice is 8 F= roll at least…

A: The independent events are when two events doesn't effect each other. This means that the…

Q: Your favorite team is in the World Series. You have assigned a probability of 62% that they will win…

A:

Q: Describe the conditional probability rule and provide an example of conditional probability.

A: Concept of conditional probability: For any two events A and B, the formula for conditional…

Q: How can you find the conditional distribution?

A: Conditional distribution:The conditional probability is defined as the probability distribution for…

Q: What are the three approaches to assigning probability? Provide some examples of how these would be…

A: The three approaches to assigning probabilities are: Classical approach, Relative frequency approach…

Q: Bill and Suzie are playing a game with two dice. If the sum is less than 5 or a 9 Bill gets 5…

A: Given information: If the sum is less than 5 or a 9 Bill gets 5 points. Otherwise, Suzie gets 3…

Q: What is the difference between indepedent events and dependent events probabilities? Give examples.

A: Introduction:Consider two events, A and B.Independent Events:The events A and B are said to be…

Q: How do you claculate Empirical probability?

A: Solution: Let A be the event.

Q: You roll five fair six-sided dice. Let X denote the sum of the numbers shown. Compute the…

A: If we roll a die then the probability of occurring of 1,2,3,4,5 and 6 is 1/6  p= 1/6 Given that 5…

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.