Leon and Zack are playing a game with dice. Leon rolls the dice first, and Zack rolls second. Are these two events dependent or independent?   dependent independent

Q: Determine whether the statement is true or false. If it is false, rewrite it as a true statement. If…

A: Solution: Mutually exclusive or Disjoint events:  Let A and B are two events of sample space S then…

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

A:

Q: Decide whether the set of events is independent or dependent. Cynthia flips a coin and it lands…

A:

Q: Two events can be both Dependent and NOT Disjoint. True False

A:

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: Suppose you play a game that you can only either win or lose. You win a game with probability 0.538.…

A: It is an application of Binomial distribution .Binomial distribution occurs as a consequence of…

Q: Compute each player’s probability of winning the game.

A: Let the capital letter 'H' and 'T' denote the outcome on the Alice's coin, and lower case letters…

Q: (QUEEN’S SECRET AND GENIES) In old days, there was a queen and she had a secret problem to solve. To…

A: Given: The probability that her secret problem is solved by the male genie=0.3. The probability that…

Q: you roll two fair dice. How many ways are there for the sum of the dice to be less than 6?

A: On rolling two dice, let X be the sum of the outcomes. The all possible values of X is…

Q: Randa is playing a board game. The players take turns rolling a pair of number cubes. On her next…

A:

Q: Roll two fair dice. Is the occurence of an even number on one of them independent of the occurence…

A: The outcome of the die is {1,2,3,4,5,6}.

Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12,…

A:

Q: You are going to play the 7-11 game, which has the following rules: You roll two dice. If the total…

A: The player throws 2 dices and if the sum is 7 or 11 person wins the gameIf the sum is 2,3, or 12…

Q: Taylor is registering for an algebra class.  The morning classes are 1st, 2nd, and 3rd periods, and…

A: There are total N= 13 classes. In which 7 are afternoon classes and 6 are morning classes.

Q: A game has three possible outcomes: X, Y, or Z. If P(X) = 0.6 and P(Y) = 0.3, what is the…

A:

Q: If Jessica is a bartender and she has six glasses of white wine and six glasses of red. A customer…

A: Solution: From the given information, Jessica has 6 glasses of white wine and 6 glasses of red.…

Q: Suppose you play a game that you can only either win or lose. You win a game with probability 0.40.…

A: Given data: Probability = 0.40 n = 10 Each game is independent

Q: Two buddies, Zeke and Bubba, plan a squirrel-hunting trip. Bubba is a better shot than Zeke. How…

A:

Q: Say that a game consists of two steps. First, you roll a die. If you roll a 1 or a 6, you continue;…

A: Given that  1 or 6 win a game

Q: A steak house cooks its steaks rare, medium rare, medium, or well. Pamela tells the waiter how she…

A: Given that : A steak house cooks its steaks rare, medium rare, medium or well.The above arguements…

Q: A study asks a sample of adults whether they prefer cats or dogs or neither. Only one answer is…

A: A study asks a sample of adults whether they prefer cats or dogs or neither. Only one answer is…

Q: You travel from Amsterdam to Sidney with a change of airplane in Dubai and Singapore. You have one…

A: Given data: *The probability that the luggage lost in Amsterdam is P(A)=5%=0.05 *The probability…

Q: atch against each other. This involves playing games of backgammon until one player has won four…

A:

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.