Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

Q: What is the probability of getting a total of 7 Or 11 when a pair of dice are tossed?

A: Probability of an event is computed by taking the ratio of number of favourable cases for the event…

Q: What is the probability of rolling a 3, 4, or 5 when tossing a single die?

A: Total number of out comes, n(S)=6

Q: Joe rolls a 6-die and Magdalena rolls an 8-die. What is the probability that Joe rolls a larger…

A: Given information: Joe rolls a 6-faced die. The possible numbers that are rolled by Joe are 1, 2, 3,…

Q: Two dice are rolled. What is the probability of getting doubles?

A: Two dice are rolled. The probability of an event E in a sample space S in which all outcomes are…

Q: In rolling a pair of fair dice, what is the probability that a sum of 7 is rolled before a sum of 8…

A: Let A denotes the sum of 7 and Let B denotes the sum of 8

Q: What is the probability of throwing a total of 8 with 3 dice ?

A:

Q: What is the probability of getting exactly two Heads in a single throw of three coins?

A: given experiment: a single throw of three coins.now, sample space…

Q: A dice is rolled 3 times. What is the probability that a 6 will appear in the toss?

A: Given Information: A dice is rolled 3 times. To find the probability that a 6 will appear in the…

Q: If three balanced dice are rolled, whats the probability that all three dice will be the same?

A:

Q: Two fair dice are rolled, Find the probability of getting a sum of less than 6

A:

Q: Two dice are rolled at one time, what is the probability of getting a sum greater than or equal to 6

A:

Q: Why is it wrong to say that in a toss of a coin, the probability of getting a head is 1/2?

A: #Why is it wrong to say that in a toss of a coin, the probability of getting a head is 1/2?

Q: Three coins are tossed, what is the probability of showing 2 tails and one head?

A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

Q: What is the probability of three heads in five flips of a fair coin? Of four heads?

A:

Q: What is the probability of rolling seven dice and getting at least one matched pair?

A: From the provided information, Seven dice are rolled. The total outcomes rolling 7 dice = 67 The…

Q: When rolling a pair of dice, what is the probability of getting a sum less than 13.

A:

Q: The probability of rolling two dices to get a total of 12 is

A: In rolling of two dice, the total possible outcomes are 36 and are as follows…

Q: Using a standard six sided dice, Janice rolled either a 2 or a 5 on the last 6 rolls of the dice.…

A:

Q: What is the probability of having the coin land with heads facing up and rolling a 6 on the dice

A:

Q: What is the probability that the sum will reach 7 or 10 in one roll of two dice?

A: In rolling a dice following possible outcomes is observed {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)…

Q: A balanced, six-sided die is rolled 3 times. What is the probability a 5 comes up exactly twice? *

A: Given A six sided die is rolled 3 times.

Q: Two ordinary six-sided dice are rolled. What is the probability of getting a sum of 8?

A: Since. it is given that two six-sided dice are rolled, Our Aim is to tellwhat is the probability of…

Q: What is the probability of getting a Head when a coin is toss?

A: Given: A coin is tossed.

Q: When rolling two dice, what sum on the dice is most probable?  What is the probability?

A: Sample set for rolling two dice S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)       (2,1) (2,2) (2,3)…

Q: What is the probability that a person flipping a fair coin requires four tosses to get a head?

A: Answer:- What is the probability that a person flipping a fair coin requires four tosses to get a…

Q: What is the probability of rolling a dice a) get an odd number of dots? b) get three dots? c) get at…

A: The outcomes if a dice is rolled are written as: S={1,2,3,4,5,6}Here, Odds number of dots = 3 Total…

Q: What is the probability of throwing a total of 8 or 11 in a single throw of a pair of dice?

A: GivenA pair of dice is thrownThe outcomes…

Q: In terms of probability, what does it mean to say that two events are independent?

A: Two events are independent , if we know that occurrence of one event does not affect the probability…

Q: ?Two fair dice are rolled, what is the probability of getting a sum of 5

A: Let Ω be a sample space when two fair dice are rolled. Ω= {1,1}, {1,2}, {1,3}, {1,4}, {1,5},…

Q: In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6?

A: The two fair dices are rolled, the pairs whose sum is greater than 3 but not exceeding 6 are (1, 3),…

Q: If you toss 6 coins, what is the probability of all 6 coins matching?

A:

Q: What is the probability of rolling a die and rolling a 2 or a 3 or a 4?

A: The probability of an event can be defined as follows:

Q: What is the probability of a dice showing a 2 or 5?

A: A dice is rolled.

Q: Two dice are thrown. Determine the probability of getting 4 points.

A:

Q: When a pair of dice is thrown 20 times, what is the probability of getting doubles at least once?

A: There are 6 sides in a die. So, if a die is thrown then total number of outcomes = 6 So, total…

Q: What is the probability that the sum of the numbers on four dice rolled is even?

A: Two or more dice rolled are considered as independent probabilities. Possibilities of two dice…

Q: What is the probability of getting at least one 4 when you throw 2 dice?

A:

Q: If you roll a fair die and then flip a fair coin, what is the probability that you roll greater than…

A:

Q: What is the probability that the sum is 7 or 11 when a pair of dice is rolled?

A: Given: The outcomes on a pair of dice are as follows   1 2 3 4 5 6 1 1,1 1,2 1,3 1,4 1,5 1,6…

Q: Determine the probability of two dice being rolled and showing a sum of 5.

A: Given data Determine the probability of two dice being rolled and showing a sum of 5

Q: What is the probability that the third toss is heads, given that the first toss is heads?

A: Every toss has two outcomes head and tail. Given that the first toss was head.

Q: A pair of dice is rolled. What is the probability of getting a sum of 10?

A:

Q: What is the probability of a dice showing a 1 or 5?

A: From the provided information, Total outcomes of throwing a dice = 6

Q: In tossing a fair die, what is the probability of getting an even number or a number greater than 3?

A: Given data :  Total numbers in a fair die = 6  That is the sample space is , S = { 1 , 2 , 3 , 4 , 5…

Q: 2. A pair of dice is rolled thrice. What is the probability of getting doubles in the three rolls?

A:

Q: Find the indicated probability:   Two 6-sided dice are rolled. What is the probability that the sum…

A: We are given, 2 six-sided die rolled. So we first need to write down the possible outcomes from this…

Q: If two dices are rolled, what is the probability that the sum of the up-turned faces will equal 7?

A: In this case, the sample space when two dices are rolled is shown below:

Q: What is the probability of rolling a 7 on a pair of die?

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.