A bag contains three red balls numbered 1, 2, 3 and six white balls numbered 4, 5, 6, 7, 8, 9. A ball is drawn. What is the probability that the ball is the following? (Enter your probabilities as fractions.) (a) red and even-numbered   (b) red or even-numbered   (c) white or odd-numbered

Q: In the waiting room of a vet's office, there are 4 cats, 5 dogs, 1 lizard, and 1 hamster. A…

A: The objective of this question is to find the probability of the complement of event A, where event…

Q: A bag contains 3 gold marbles, 10 silver marbles, and 25 black marbles. You randomly select one…

A: There are 3 gold marbles, 10 silver marbles, and 25 black marbles in the bag.

Q: A paper bag contains three dice. Dice A’s faces are numbered 1, 2, 3, 4, 5, 6; Dice B’s faces are…

A: A paper bag contains three dice. Dice A's faces are numbered 1, 2, 3, 4, 5, 6. Dice B's faces 2, 2,…

Q: At a hot air balloon festival, Brooke made note of how many passengers were in each balloon and the…

A: Given,   Blue Yellow TOTALS 1 passenger 2 1 3 2 passenger 4 6 10 TOTALS 6 7 13

Q: A B C Number of boys 6 5 3 Number of girls 10 3 1 Given that a student is not chosen in group A,…

A: iven Information   A B C Total Number of boys 6 5 3 14 Number of girls…

Q: A bag contains 8 red balls, 5 black balls, 3 white balls and 4 orange balls. A ball is selected and…

A: Given that Number of red balls = 8 Number of black balls = 5 Number of white balls = 3 Number of…

Q: n a certain college, 35% of the boys and 20% of the girls are studying mathematics. The girls…

A:

Q: A single card is drawn from a deck of 52 cards. Find the probability that the card chosen is as…

A: According to the question, a card has to be drawn from a deck of 52 cards.  A deck of 52 cards…

Q: A bag contains four balls. Two balls are drawn and are found to be white. Find the probability that…

A:

Q: The chips shown are placed in a bag and drawn at random, one by one, without replacement. What is…

A: Total chips=3+3+1+9=16 Yellow chips=3, White chips=3, Red chips=1, Blue chips=9

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 6 black ​balls, 7 orange…

A: There are 6 black balls, 7 orange balls are 7 red balls in the bag.

Q: You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose…

A: When we are working on probability, we are talking about uncertainty. When a coin is tossed, we do…

Q: You are playing a card game and will be dealt 5 cards from a well-shuffled standard deck. A. How…

A: It is known that  Total cards = 52 Number of spades = 13

Q: A box contains 5 green pencils and 7 yellow pencils. Two pencils are chosen at random from the box…

A: Given Information: Green pencils = 5 Yellow pencils = 7 Total number of pencils is 12 Probability of…

Q: A flight attendant looked over a list of recent passengers. The list contained passengers' Frequent…

A: Let A=passenger have silver statusB=have 1 checked bag   0 checked bags 1 checked bag Totals…

Q: In the game of poker 5 cards are drawn from a pack of 52 well-shuffled cards. Find the probability…

A: It is known that Total cards in a deck = 52 Number of aces = 4 Sample size = 5

Q: There are 100 balls in a container. 30 of them are red, 50 blue, and 20 green.  We randomly select a…

A:

Q: Q:A bag contains 5 red balls, 88 white balls,4 green balls and 7 black balls. If one ball is drawn…

A:

Q: At a train station, there are three trains. Everybody in the train station takes one train. The…

A: Given  probability that a person take train 1 = 14 probability that someone  take train 2 = 18 To…

Q: A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four…

A: From the provided information,A football team consists of 19 each freshmen and sophomores, 15…

Q: In how many ways can a president, a vice president, a secretary and at reasurer be elected from a…

A: Here we will use the concept of Permutation

Q: What is the probability that a person throws a Yahtzee on the very first roll? b. What is the…

A: Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various…

Q: you do not put the first card back in the deck before you draw the next, what is the probability…

A:

Q: n a drawer, there are 11 pairs of socks, 7 of which are white, and 9 t-shirts, 3 of which are white.…

A: 7 white socks out of 11 socks 3 white tshirts out of 9 tshirts select one pair of sock and one t…

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.