4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the probability that both events occur is?

Q: 1. One ball is to be selected from a box containing red white, blue, yellow, and green balls. If the…

A:

Q: Suppose that the probability of event A is 0.3 and the probability of event B is 0.4. Also, suppose…

A: Consider two events E and F, and P(E) = a and P(F) = b. If E and F are independent events, then #…

Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: Urn 1 contains three red balls and five green balls and urn 2 contains four red balls and seven…

A: Conditional Probability: Let A and B be two events with P(A) > 0. Then the conditional…

Q: Suppose that the probability of event A is 0.33 and the probability of event B is 0.41. If A and B…

A: We have to find given probability.

Q: The theoretical probability of a coin landing heads up is Does this probability mean that if a coin…

A: According to the provided information, the probability of a coin landing heads up is 1/2

Q: Urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black balls. A fair coin…

A: 10) Given that the urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black…

Q: 2) 39% of kids are excited to be back at school. What is the probability that in a group of 10 kids…

A: Givenp=0.39n=10Let "x" be the kids excited to be back at…

Q: 1- You take a trip by air that involves three independent flights. If there is an 85% chance each…

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Q: Suppose in a particular college, 60% of the student population is female. (a) Calculate the…

A: Given, 60% of the student population is female. p = 0.6 Sample size n = 10 For a binomial…

Q: If 4% of the population is color-blind, what is the probability that a group of 30 people, at least…

A:

Q: If the experiment is in state 1 on the third observation, what is the probability it will be in…

A: The two-state transition  is given below. From the above matrix, the probability from state 1 to…

Q: Events A and B are independent. Suppose event A occurs with probability 0.41 and event B occurs with…

A: Given that P(A)=0.41 and P(B)=0.22 a. The probability that both A and B occur if event A or B occurs…

Q: If the probabilities that Jane, Tome, and Mary will be chosen chairperson of the board are 0.5, 0.3,…

A: The question is about probability Given : P ( Jane will be chosen ) = 0.5 P ( Tome will be chosen )…

Q: Problem:- If k people are at a party, what is the probability that at least two of them have the…

A:

Q: 1) A beg contains 10 black pens. If a pen is chosen at random from the beg, what is the probability…

A:

Q: If an event is certain, then its probability is 0. O True O False

A: Solution Answer is  False

Q: If the probability for one and only one event of A and B to happen is 0.3, P (A) = 0.2 and P (B) =…

A: Given: P(A)=0.2 P(B)=0.3  the probability for one and only one event of A and B to happen is 0.3

Q: (a) Suppose on an average 1 house in 1,000 in a certain district has a fire during a year. If there…

A:

Q: 3. If the experiment is in state 2 on the third observation, what is the probability that it will be…

A: As per honor code we will only answer first question: 3)  P=0.50.510…

Q: If the odds against an event are 4 to 9 then the probability that the event will fail to a is what.

A: The odds against an event are 4 to 9.

Q: If two events A and B are not disjoint, then the probability of their union

A:

Q: 1- A box contains 4 red balls. 3 white and 5 blue balls. Two balls were drawn in a row without…

A:

Q: 6. Suppose that 10% of the patients in a clinic are infected with a virus. Also suppose that when a…

A: Dear students as per guidelines we answer the first three subparts only when multiple different…

Q: Suppose box A contains 2 red balls and 3 blue balls and box B contains 6 red balls and 3 blue ball.…

A: Given information: The number of red balls in box A is nAR = 2. The number of blue balls in box A is…

Q: Suppose 38% of the teachers at a high school are male teachers. What is the probability that of your…

A: Let x follows binomial distribution with parameters n = 6 and p = 0.38   The pdf of binomial…

Q: In a city, 40% of the population is poor, 25% people are rich, and 35% are middle class.find the…

A: Given Information: 40% of the population is poor  25% people are rich 35% are middle class.

Q: A bag contains 88 white marbles, 33 red marbles, and 44 yellow marbles. If a marble is drawn from…

A:

Q: Suppose a fast food restaurant can expects two customers on every 3 minutes. On average, a. What is…

A: The Poisson distribution: A discrete random variable X is said to have a Poisson distribution with…

Q: Jad is a mathematician with probability 0.4, a musician with probability 0.5, and is neither with…

A: Let A denote that Jay is a Mathematician and B denote that Jay is a Musician. The following…

Q: . If boys and girls are equally likely to be born, what is the probability that in a randomly…

A: From the given information we want to find the probability for given event .

Q: and if a 1 is transmitted, the probability of it being received in error is 0.1. If the output of…

A: here define events I1 = input bit 1 ,  p(I1) = 0.7I0 = input bit 0   , p(I0) = 0.3R1 =…

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: 1.If 55% of the adult population is female, and a Jury consists of 12 adults, calculate the…

A: Given that n=12 , p=55%=0.55, q=0.45 X~Binomial(n=12,p=0.55)

Q: 1)In the entire group of first-year statistics students, half own a calculator (h), and the rest…

A: The set number of possible outcomes of an experiment is called sample space. The favourable outcomes…

Q: a.  A bag contains 99 yellow marbles, 66 red marbles, and 44 green marbles. If a marble is drawn…

A: a. The probability formula is, Probability=Number of favourable outcomesTotal outcomes There are…

Q: When two events cannot occur at the same time, they are said to be ?

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: 2. A container has 2 striped marbles, 1 white marble, and 4 black marbles. Tia selects a marble from…

A:

Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: 9. The probability that an American industry will locate in Shanghai, China is 0.7. The probability…

A: Given P(Shanghai) = 0.7 P(Beijing) = 0.4 P(Either Shanghai or Beijing) = 0.8

Q: For this problem, assume that 11 % withdraw, 14 % receive an A, 18 % receive a B, 35 % receive a C,…

A:

Q: Find the probability that in a class of 4 males and 10 females, exactly 1 male and exactly 1 female…

A: We have given that the random variable X that is colour blind follows binomial distribution. For…

Q: 1. Suppose that two runners from team A and three runners from team B participate in a race. Further…

A: General formula of probability ,  Probability = Number of favorable outcomes Total outcomes…

Q: 1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a…

A: Hint: The addition rule for any two mutually exclusive events X and Y states that the probability…

Q: 5. Suppose box A contains 3 red balls and 2 blue balls and box B contains 4 red balls and 1 blue…

A:

Q: Suppose a coin is tossed thrice. Let the event A be "getting three heads" and B be the event of…

A:

Q: Suppose there are three urns. Urn 1 contains two red balls and three black balls. Urn 2 contains one…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

A: Given that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

Q: 9. The probability that an American industry will locate in Munich is 0.7, the probability that it…

A: Let A be the event that the American industry will locate in Munich  Let B be the event that the…

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.