A bag contains 2 green, 3 brown, and 2 yellow Smarties. Two Smarties are grabbed at random (one after another and the Smartie is not put back in the bag). The probability that neither of the smarties are yellow

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: A gumball dispenser has 38 orange gumballs, 30 purple ones, and 18 yellow ones. The dispenser…

A: Given data There are  38 orange gum balls 30 purple gum balls 18 yellow ones.

Q: Sophia and Daniel each have a bag containing all 26 letters of the alphabet. Sophia randomly takes a…

A: Given information: Number letters in each bag = 26 Let Sophia randomly takes a letter from her bag…

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: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: Three cards drawn from an ordinary deck not replaced. The probability of getting 3 queens is mj

A: We have to find given probability..

Q: You have a bag of marbles containing: 2 blue, 3 green, 2 red, and 1 yellow. You will pull 3 marbles…

A: Let there are n mutually exclusive, exhaustive and equally likely outcomes of a random experiment…

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Delta Airlines flights from Minneapolis to Atlanta are on time 83% of the time. Suppose 6 flights…

A: It is given that n is 6 and p is 0.83.

Q: Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the…

A: We have to Find the probability that both the cards are black....

Q: A bag contains 8 books. 3 are economics, 2 are English, and 3 are math. A book is selected at…

A: Introduction Probability: Probability helps us in knowing the chances of an outcome from a trial.…

Q: Two cards are drawn from a single deck of 52 cardsone after the other. If the first card is not…

A: The objective of this question is to find the probability of drawing a king on the first draw and a…

Q: A shelf has 6 Java books and 4 python books. what is the probability that three particular Java…

A:

Q: a television game show has 14 doors, of which the contestant must pick 2. Behind 2 of the dorrs are…

A: It is given that the In a television game show, there are 14 doors and behind the door, there are…

Q: One bag contains 11 red balls and 3 green balls. A second bag contains 7 red balls and 9 green…

A: Let,G1 = event that Bob selects a green ball from the first bagG2 = event that Alice selects a green…

Q: . Bag A contains 7 red and 6 black balls and Bag B contains 6 red and 9 black balls. One ball is…

A: Note : Since you have asked multiple questions, we will solve the first question for you. If you…

Q: There are three boxes: the first box has 2 red balls and 5 blue balls, the second box has 4 red…

A: Probability

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: 2. A box contains 8 green balls and 6 red balls. Five bal are selected at random, find the…

A:

Q: Assume that there are 8 white mice and 7 black mice to choose from, and you randomly pick 4 mice.…

A: It is given that, there are 8 white mice and 7 black mice. Thus, total mice  =8+7=15 We randomly pic…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

A: It is an important part of statistics. It is widely used.

Q: two books are selected from a box containing 6 fiction and 8 nonfiction books. find the probability…

A: It is given that two books are selected from a box containing 6 fiction and 8 nonfiction books.…

Q: vision game show has 9 ​doors, of which the contestant must pick 3. Behind 2 of the doors are…

A: behind 2 doors the  expensive cars  behind 7 doors the consolation prizes total 9 doors   select 3…

Q: If mary has 10 pop cans and there are 4 Coca Cola cans. Let’s assume Mary will place these cans in a…

A: The number of ways in which 10 cans can be arranged in a line at random , with 4 of them being…

Q: What is the probability that Tori picks a boy? What is the probability that Tori picks someone…

A: Here Given  Tori writes the 5 names of his Friends (Tom, Jill, Joe, Marvin, and Ginger.  ) And he…

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: There is a jar of coins sitting on the table in the center of the room. The jar contains 9 pennies,…

A: given data   jar contains : 9 - pennies    1 cent 12 - nickles  - 5 cent 10 - dimes  - 10 cent 5 -…

Q: Bag I contains 3 red and 4 black balls while another Bag Il contains 5 red and 6 black balls. One…

A: Here we use the concept of tha bayes theorem of probability.

Q: a random card is drawn from a standard deck of playing cards (52 cards), what is the probability of…

A:

Q: There are two bags A and B. A contains n white and 2 black balls and B contains 2 white and n black…

A:

Q: A comment of 2 people is to be chosen from 8 women and 6 men. What is the probability at least one…

A: Given Data: The number of people required in the community is: N=2  people The number of women…

Q: white balls,  and

A: Given as, 6 red balls, 8 green balls, 4 white balls, 2 yellow balls.

Q: A bowl contains 12 red balls and 8 white balls. If two balls are selected randomly then what is the…

A: GivenA bowl containsNo.of red balls = 12No.of white balls =8Total no. of balls = 20

Q: In a box there are 2 white, 3 black, and 4 red balls. If a ball is drawn at random, what is the…

A: Given: Number of white balls, n(w)=2. Number of black balls, n(b)=3. Number of red balls, n(r)=4.…

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.