27. A bag contains 5 red, 6 green and 4 blue marbles. Four are drawn out at random What is the probabilities of the following events expressing each as a fraction in the lowest term. (a) all are green (b) all are the same color (c) at least 3 are red (d) two blue and one of each of the other colors (e) NOT all are green

Q: 5. find the sample space for the sex of 4 children that brenda and daniel wants to have. Find the…

A: Sample space of an experiment:The set of all possible outcomes of a random experiment is called…

Q: 74. A class consists of 80 students, 25 of them are girls and 55 boys, 10 of them are rich and…

A:

Q: A bag contains 12 red and 9 blue marbles. You are asked to select two marblesfrom the bag. The first…

A: First, we need to identify the total number of outcomes. In this case, we have 12 red marbles and 9…

Q: For all of the probabilities in this section, we will be using a standard deck of 52 cards. In a…

A: J,K,Q are the face cards. There are 4 of each. So total (3×4)=12 face cards are there. There are…

Q: A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles. You draw 4 marbles out at…

A: Given A bag contains 6 red marbles, 8 white marbles, and 10 blue marbles.

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: A box contains 4 white balls, 8 red balls, and 9 blue balls. If 3 balls are selected at random, find…

A:

Q: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

Q: A bag contains 14 blue balls and 6 red balls. If 2 balls are drawn at random from the bag, with the…

A: Given Information: A bag contains 14 blue balls and 6 red balls, 2 balls are drawn at random from…

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: A bag contains 6 red marbles, 9 white marbles, and 7 blue marbles. You draw 5 marbles out at random,…

A: Given,no.of red marbles=6no.of white marbles=9no.of blue marbles=7total no.of marbles=22

Q: the 15-letter passwords formed by mixing 10 A’s, 3 B’s, and 2 C’s, I select one at random. Determine…

A: *Answer:

Q: A bag contains 9 red marbles, 5 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A:

Q: The entire deck of 52 cards is dealt out to 4 players (the 1st player, 2nd player, 3rd player and…

A: Given information: The entire deck of 52 cards is dealt out to 4 players (the 1st player, 2nd…

Q: Assume a jar has six red marbles and four black marbles. Draw out two marbles with and without…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: 2. Cards. A deck of 52 cards is shuffled and dealt. Find the probabilities of the following events:…

A: a)  This account  for negative binomial distribution, where, there are N=52 cards, probability of…

Q: na horse race, a field could have 30 horses, 5 of them are white horses. The first, second and third…

A: From the given information we find the probability

Q: A box contains 20 chocolates. 5 of the chocolates are black chocolate flavour while the balances are…

A:

Q: 3. A box contains 4 blue blocks, 6 red blocks, 3 yellow blocks, and 2 white blocks. Find the…

A: 3. The given box contains 4 blue blocks, 6 red blocks, 3 yellow blocks and 2 white blocks.

Q: Suppose 20% of the marbles packed in a box are red in colour. 4 marbles are chosen at random. Find…

A: Given n=4, p=0.20 Binomial pmf P(X)=nCx px(1-p)n-x

Q: Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without…

A:

Q: A box contains 3 white balls, 8 red balls, and 7 blue balls. If 3 balls are selected at random, find…

A: a) There are total (3+8+7)=18 balls. We can select any 3 balls from 18 balls in 18C3=816 ways We can…

Q: A social club contains 7 male and 8 female members. a committee of three members is to be chosen…

A: Obtain the probability that the first person chosen is male.   The probability that the first…

Q: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange  Without Replacement we…

Q: bag contains six red marbles, four blue marbles, two yellow marbles and 3 white marbles. One marble…

A:

Q: Assume a jar has five red marbles and four black marbles. Draw out two marbles with and without…

A: 5‐red4‐black9‐total draw two marbles with and without replacement.a Ptwo red     with…

Q: 1. A bag contains 10 white and 8 red balls. Four balls are chosen at randomly. Find the…

A:

Q: Three boxes contain red and green balls. Box 1 has 5 red balls and 5 green balls, Box 2 has 7 red…

A: Let A, B, C are the probabilities of choosing a box. PA=14, PB=12,PC=14

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.