Suppose a dice is thrown thrice. What is the probability of getting the sum to be even given the number on the first dice is odd?

Q: Juan has a fair six-sided die, if Juan rolls the die twice in a row, what is the probability that…

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Q: Suppose you roll three dice. What is the probability that the smallest number seen is five?

A: Solution: From the given information, three dice are rolled.

Q: Your friend selects one of two dice, a 6- sided or a 4-sided, with equal probability, and rolls it…

A: GivenThere are two dice 4 sided and 6 sided. The probability of selecting 4 sided dice P(4…

Q: Find a 90% confidence interval for the population mean, if the sample size is 58, the sample mean is…

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Q: What is the probability that the number on the first die is smaller than the number on the second…

A: The sample space of two dice are thrown is S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2)…

Q: John plans to toss a die until he observes two even numbers. What is the chance that the 2nd even…

A: For a dice roll the sample space is given by: S=1,2,3,4,5,6 so the probability of getting odd number…

Q: Suppose, you have removed all but the numbered cards from a deck of playing cards. Now, you have to…

A: Given, The total numbered cards = 36

Q: if two dice are cast, what is the probability that the sum will be less than 5?

A: Two dice are thrown together. Nedd to find the probability that numbers on the two faces sum/add is…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Suppose you roll two fair dice, one that is red and other is blue. Each die can have numbers from 1…

A: The total number of possible outcomes for rolling two fair dice is 36. The possible outcomes for…

Q: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

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Q: A man is known to speak the truth 5 out of 6 times. He throws a die and reports that the number…

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Q: When 2 dice are rolled, find the probability of getting a greater number on the first die than the…

A: When 2 dice are rolled. then sample space(S) is;…

Q: If the probability that an event does no occur is 0.3 determine the probability that the event…

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Q: A dice is rolled twice. What is the probability that the sum of the numbers obtained on the two…

A: GivenA dice is rolled twice

Q: If we roll two dice, what is the probability that the sum of the numbers on top is 7?

A: Given data: The number of dice rolled is: n=2.   The expression for the number of sample space when…

Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

Q: Assume that you are rolling two regular dice.  The first one is red; the second one is green.  In…

A: When we rolled pair dice of different colours So total no. of possible outcomes will be 62 =36.…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

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Q: A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that…

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Q: 7 Let ☆,Xx - X, be random, sample from Pomm . Fino MLE d dist rilu tion a. So.

A: Let X1, X2, X3,...,Xn be n random samples from the Poisson distribution. The probability mass…

Q: A pair of dice of a six sided die and a four sided die is rolled and the sum is determined. What is…

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Q: If we roll two dice, what is the probability that one of the numbers on top is 3?

A: When two dice are rolled, there are 36 outcomes in the sample space, which is given by Sample space,…

Q: A pair of fair dice is rolled. What is the probability that the number landing uppermost on the…

A: We find the outcomes for sum=7 of the numbers landing uppermost (1,6) , (2,5) , (3,4) , (4,3) ,…

Q: Suppose that a student rolls two balanced dice three times in a row. What is the probability that on…

A: There are 6 number on each die so the total number of outcomes=6×6=36

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 5​, given that the…

A: Given data: The numbers of dice rolled are n=2. The expression for the total number of sample space…

Q: A student is taking a true/false exam with 18 questions. If he guesses on each question, what is the…

A: Given Information 18 true/false question Probability of correct answering p = 0.5 N = 18 Let X be…

Q: Three identical dice are thrown. Find the probability of getting sum at least 4.

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

Q: If two balanced dice are rolled whats the probability that the sum of the two numbers will appear…

A: Given that : Two balanced die are rolled.  We know that a die contains ( 1,2,3,4,5,6) Total outcome…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.