Two regular six-sided dice are tossed. Compute the probability of rolling a 5 or doubles.

Q: We roll a pair of dice four times. Find the probability that a total of five is rolled each time.

A: roll a pair of dice four times  P(total of five each times) = ?

Q: A fair die is rolled. Find the probability of the complement of rolling a 4

A: When a die is rolled then the possible outcomes are 1,2,3,4,5,6. So the probability of getting 4 is…

Q: determine the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

A: the odds in favor of rolling "Snake Eyes" on the first roll of a pair of dice

Q: What is the probability of rolling a one or a six when rolling one die?

A:

Q: Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6 rolls of die.  What's…

A: Solution Given That, Using a standard six-sided die, Janice rolled either a 2 or 5 on the last 6…

Q: Two dice are rolled. Find the probability of getting the following results sum of 10,12, or 3

A: Probability is a statistical method to know the likelihood of getting an event or outcome. The…

Q: When rolling a pair of dice, what is the probability of getting a shm of 5?

A:

Q: You roll two dice. What is the probability of rolling a sum of seven? ?

A: Two dices are rolled.

Q: You roll a SIX sided die. What is the probability that the value of the roll will be even?

A: If we roll a 6 sided dice, the possible outcomes are 1,2,3,4,5 and 6 And each outcome is equally…

Q: A die is rolled twice. What is the probability rolling a 3 first, followed by rolling an even…

A: Given : A die is rolled twice .  Sample space for rolling a die is :  S = {1,2,3,4,5,6}  n(S) = 6…

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

A:

Q: Two dice are tossed . What is the probability of not getting doubles?

A: Total number of possible outcomes when we roll a dice is 6.So, total number of possible outcomes…

Q: A 12 sided die is rolled. Find the probability of rolling a number less than 3

A: When a 12-sided die is rolled, the sample space is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. In the…

Q: Two six sided dice are rolled at once. What is the probability of rolling a sum of 9

A: Note that the favorable cases to get a sum of 9 are 3,6,6,3,4,5,5,4. Consider the following events,…

Q: Two dice are rolled. The sum of the dice is a 2 or 3. Compute the probability of the compound event…

A: We have given that,  Tw dice are rolled the the sample space (s) is,  s = {(1,1), (1,2),…

Q: You roll a TWELVE sided die. What is the probability that the value of the roll will be two?

A: When a 12 sided die is rolled then there are 12 possible outcomes. [any number from 1-12] If the…

Q: I roll twelve fair six-sided dice. What is the probability that I roll each number twice?

A: The objective of this question is to find the probability of rolling each number from 1 to 6 twice…

Q: I roll twelve fair six-sided dice. What is the probability that I roll each number twice?

A: The objective of this question is to find the probability of rolling each number from 1 to 6 twice…

Q: Two standard dice are rolled. What is the probability of rolling doubles (both the same number)?

A: Given that  Total number of outcomes=36 S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3)…

Q: A die is rolled twice. What is the probability of getting 3 or 5?

A: From the given information, a dice rolled twice.   The total sample space is,

Q: Two six sided dice are rolled and the numbers are observed. What is the probability that the two…

A:

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.