If the selected chip is white, what is the probability that the other chip in the bowl is red?

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: if probability of choosing a red chip from a bucket is 0.36, what is the probability of not choosing…

A: Answer: From the given data, The probability of choosing a red chip from a bucket is 0.36 P(a red…

Q: Suppose that 54% of people own dogs. If you pick two people at random, what is the probability that…

A: Given, 54% of the people own dog.That is

Q: If one card is randomly selected from a deck of cards, what is the probability of selecting a king…

A: In a deck of 52 cards, there are 4 kings and 4 queens.  So total number of kings or queens= (4+4)=8…

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

A:

Q: If a single card is drawn from a standard deck, what is the probability of drawing a black card or a…

A: no.of black cards from a standard deck=26 no.of face cards from a standard deck=12 no.of black face…

Q: If the probability of choosing a red chip from a bucket is 0.4, What is the probability of not…

A: We have the probability of choosing a red chip from a bucket is 0.4

Q: Ms. Kim orders a pizza with 5 toppings, chosen from 11 available toppings. What is the probability…

A: Let A and B be the two events, the probability of event A or B but not both is nothing but P(A and…

Q: What is the probability that a randomly selected student from a university with 60% female and 40%…

A:

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: Six percent of American adults are considered millionaires. If 100 randomly selected adults are…

A: Here it is given that 6% of American adults are millionaire. We need to find the probability of 7 or…

Q: The probability that a can of paint contains contamination is 3.23% and the probability of a mixing…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:

Q: Two cards are randomly selected from a deck of 52 cards. What is the probability that the two cards…

A: Given two cards are randomly selected from a deck of 52 cards. We have to find the probability that…

Q: When a pair of dice is​ rolled, what is the probability that the sum of the dice is 8​, given that…

A: A pair of six-sided dice is rolled.There are a total of  possible outcomes, as each die has  faces.

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

A:

Q: If you pick a card from a standard deck of cards, what is the probability of picking the 3 of…

A: Given that Number of cards in a deck  n(S)=52 We have to find the probability that  picking the 3 of…

Q: A jar has 6 orange marbles and 10 red marbles. What is the probability of drawing two orange marbles…

A: We have given that  A jar has 6 orange marbles and 10 red marbles. Total number of marbles = 16

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: If Timothy rolled a pair of dice, what is the probability that both would be "5"?

A:

Q: In a family of 6 children, what is the probability of getting exactly 5 boys?

A: Given: n=6probability of boy p=0.5probability of girl q=0.5 The probability of getting exactly 5…

Q: If 15% of students like tennis and I expect 500 new students on campus what is the probability that…

A: Probability that students like tennis, p=15% = 0.15 q=1-p= 1-0.15= 0.85 Sample size n=500…

Q: jar of marbles contains 5 pink, 9 green, 13 blue, and 3 orange marbles. If a marble is randomly…

A: According to the given information in this question We need to find the following probability

Q: If 42% of students own a car and 27% of students own a bike. What is the probability that a student…

A: Given Data: The probability that student own a car is: P(A)=42% The probability that student own a…

Q: Suppose that 37% of people own dogs. If you pick two people at random, what is the probability that…

A: From the given information, it is clear that   The probability that people owns the dog=0.37.…

Q: Suppose that 85% of people are voting in the election. If you pick two people at random, what is the…

A: Obtain the probability that they both are voting in the election.   The probability that they both…

Q: It has been estimated that 21% of Americans are smokers. If four American adults are chosen at…

A: Given that, proportion, p= 21%  p= 0.21 So q= 1-p= 1-0.21 = 0.79 And sample size is n= 4 So X~…

Q: In the experiment of rolling two dice, what is the probability that the difference between the…

A:

Q: Suppose that 47% of people own dogs. If you pick two people at random, what is the probability that…

A: We have given that Probability (p) = 0.35number of sample (n) = 2 Here we will use binomial…

Q: If two coins are tossed, what is the probability of getting both heads

A:

Q: Suppose we pick one card from a deck of cards, what is the probability of getting a King or a Spade?

A:

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a…

A: In a standard deck of 52 cards, 26 cards are black and 26 cards are red

Q: If one card is randomly chosen from a standard deck, what is the probability that a six or a king is…

A: Given information- We have given an ordinary deck of cards. In an ordinary deck consist of 52 cards.…

Q: If two dice are thrown, what is the probability of throwing a total of 5?

A: If dice is thrown then possible sample (S) : S = { (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)…

Q: If two dice are rolled one time, what is the probability of getting: A sum of 11 or 4

A: Probability: probability is a mathematical tool used to study randomness. It deals with the chance…

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.