Suppose you roll a fair die twice. Find the probability that the sum of the numbers is 4 Find the probability that the sum of the numbers is 4 given the first dice rolled is a 3

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the…

A: GivenA number cube is rolled and coin is tossed

Q: A fair die is rolled 4 times. What is the probability of getting at least one 2 on the four rolls?…

A: We have to find given probability.

Q: A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the…

A: if a number cub is rolled and a coin is tossed than the possible outcomes…

Q: Richard has been given a 6-question multiple-choice quiz in his history class. Each question has…

A: Here the given information is Richard has been given a 6-question multiple-choice quiz in his…

Q: A bag contains 6 red, 8 white, and 4 blue marbles. Find the probability of picking 3 blue marbles if…

A:

Q: You are dealt one card from a 52 card deck. Find the probability that you are not dealt an even…

A: Answer:- Total number of cards in a deck = 52  We know that, total number of even cards in a deck  =…

Q: You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once.…

A: 4 toppings can be chosen from 7 by 7C4 Ways 7C4 =

Q: In a carnival game, you roll a number cube and flip a coin. The sides of the die contain the numbers…

A: Introduction: It is required to find the probability of winning the game by scoring 10 or more…

Q: A coin is tossed 2 times. Find the probability of head followed by tail.

A: Given :  A coin is tossed 2 times. The number of outcomes = 22 = 4 The possible outcomes are {HH,…

Q: Flip a dime and a penny at the same time. Find the probability of the event that two faces are the…

A: Given: A dime and a penny at the same time. Faces of both dime and a penny can be named as Heads(H)…

Q: If the probability that the Mets will win a baseball game is 30%, find the probability that the Mets…

A: Given; P(win)=30%=0.30 Therefore, the probability that the Mets will not win is-

Q: ou randomly select one card from a​ 52-card deck. Find the probability of selecting a black two or a…

A: given data, select one card from 52 card deckhere total outcomes= 52 cards we have to find out the…

Q: You are dealt a hand of 13 cards, find the probability that you have 4 hearts, 3 spades, 5 diamonds…

A: Given that  Total number of cards=52 Number of hearts cards=13 Number of spades cards=13 Number of…

Q: You roll a six-sided die. Find the probability of rolling: a 5 or a number greater than 3 a number…

A:

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: An office has 7 men and 6 women employees.  Three employees are picked at random for a trip to…

A: 7 men 6 women  ____________ 13 total employees select 3 at random  P(2 males and 1 female) = ?

Q: Determine the number for which the sum for both dice is 10. Determine the number for which the sum…

A: Given that there is two dice and we know that there will be total 36 outcome so we have find number…

Q: Six free tickets to a Manchester United match at Old Trafford will be shared by drawing lots among…

A: Given that: Number of tickets = 6 Number of boys = 10 Number of girls = 8 Each student can win at…

Q: Jessica tosses a 50p coin twice. What’s the probability she’ll get two heads?

A: The number of times Jessica tosses a 50p coin=2

Q: .

A: A standard deck of cards=52 cards. Drawing one card from the deck =C152  ways. A standard deck of…

Q: you flip a coin 6 times whats the probability of them all being heads?

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A bag contains seven dominoes. Two of the dominoes have a total of five dots. Three of the dominoes…

A: Let A be the event that the second domino has exactly 5 dots B be the event that the first domino…

Q: Find the probability of the given event. A bag contains 4 red marbles, 6 blue marbles, and 9 green…

A:

Q: Find the probability that the 12 cards being dealt contain equal number of suits.

A: The probability is the chance of occurrence of observations can involve in the sample by given equal…

Q: You draw 2 cards from a standard deck of 52 cards. Find each probability. If the first one is…

A: Given that 2 cards are selected from standard deck of 52 cards. Here, 2 cards are selected with…

Q: You go to a shelter. There are 15 cats and 12 dogs. If you choose 2 random animals, what is the…

A:

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

Q: The picture hows a family that has had nine girls in a row. Find the probability of this occurrence.

A: Given: Number of girls in a family = 9 Assuming that no other child is born other than 9. Also,…

Q: Show your complete and detailed solution.  What is the probability that the sum of 8 appears in a…

A:

Q: drawn, what is the probability of getting

A:

Q: You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10. What is the…

A: Given You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10.

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a card with…

A: Given Total number of cards in a deck(n)=52

Q: In a jar, there are 6 circles, 5 rectangles and 4 triangle shapes. A shape is drawn, replaced, and a…

A:

Q: Finn, John, Andrew, and Eddie are going to have a movie night this weekend. Together, they have 30…

A: It is given that together they have 30 movies.  So, out of 30, 4 movies can be chosen in 30C4 =…

Q: A coin is tossed three times  The odds of getting one head and two tails are

A:

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

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.