Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. 2.  Are the events ‘Korea’ and ‘Black’ Independent? Justify your

Q: A regional telephone company operates 3 identical relay stations at different locations. During a…

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Q: What is P(A), the probability that the first flip is heads? What is P(B), the probability that the…

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Q: A bag contains 5 green marbles, 8 blue marbles, and 6 red marbles. Let's call the event A "Drawing a…

A: Two events are said to be mutually exclusive if they cannot occur at the same time. If two events A…

Q: The statement "Two events are mutually exclusive if they cannot both occur", is correct?

A: The statement is "Two events are mutually exclusive if they cannot both occur".

Q: 25. Determining Whether Events Are Disjoint a. If P(A) = 3/11, P(B) = 4/11 and P(A or B) = 7/11,…

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Q: c) Are the events "17-29" and "45-64" mutually exclusive? Justify your answer. d) Are the events…

A: It is given that  Total number of registered voters = 4000 Let A be the Number of voters of age…

Q: Suppose that A and B are events such that P(A) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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Q: iii) is white car, given that it was manufactured in America  (iv) Are rights events "Korea" and…

A: Given : For a group of 300 cars the numbers , classified by color and county of manufacture , are…

Q: Determine whether the event described is independent or not, then explain why.      A cube is drawn…

A: Events A and B are said to be independent events if the probability that A occurs does not affect…

Q: Consider two events with P(B)= .4 and P(A or B)= .9 and P(A and B)= .2  Find P(notA).

A: GivenP(B)=0.4P(A∪B)=0.9P(A∩B)=0.2

Q: 3 The records at a rural medical centre show that • 35% of all children registered there have some…

A: Given, event A = Having respiratory illness Event B = Having glue ear Event C = neither of…

Q: If P(A) = 0.6 and P(B) = 0.5, then A and B can be disjoint events. true or false?

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Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

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

Q: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. (v) Are the…

A: Let K denote the event Korea and B denote the event Black (iv) The 2 events K and B will be mutually…

Q: If two events are mutually exclusive, then they are independent Select one: True False

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Q: You have a fair coin and you want to simulate an event that has probability 1/3, and another event…

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Q: Suppose that A,B, and C are three events that cannot all occur simultaneously. Does this condition…

A: Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: A class with n kids lines up for recess. The order in which the kids line up is random with each…

A: Here are total n kids which include Betty and Mary. Now let , A be the event in which first in the…

Q: What is the probability that (a) both assembly lines are shut down? (b) neither assembly line is…

A: Ans.  Here S represent " shut down "                 P represent " partial capacity " and F…

Q: Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. (v) Are the events…

A: From the given information,   Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56…

Q: Police report that 90% of drivers stopped on suspicion of drunk driving are given a breath test, 11%…

A: See the attachment. Send your feedback please.

Q: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the…

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Q: Suppose two events, A and B, are defined where P(A)=P(B)=.4 and P(AorB)=.65. What is P(AandB)

A: Given : P(A)=P(B)=.4 and P(AorB)=.65

Q: For a departmental inquiry committee, an employer randomly selects a sample of three employees from…

A: From the provided information, Total employees = 10 Total men = 6 Total women = 4

Q: Consider two events B and C, such that P(B) = 0.28, P(C) = 0.46, and P(C n B) = 0.2, then P(C n B)…

A: Given that P(B) = 0.28, P(C) = 0.46, P(C' AND B) = 0.2

Q: 3. a. Explain in your own words what it means for two events to be mutually exclusive. b. If events…

A: We have given that  P(A ) =0.3   ,  P(B) = 0.4  AND two event are mutually exclusive.

Q: 2. The events x and y are mutually exclusive events. If P(x) = 0.4 and P(y) = 0.3, what is the…

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Q: If two events are independent with P(A) = 0.6 and P (B ) = 0.35 Is A and B are complementary events…

A: Given: P(A)=0.6 P(B)=0.35

Q: According to the formal probability theory definition of statistically independent events, are the…

A: Answer - According to the formal probability theory definition of statistically independent events,…

Q: An event that cannot be defined in terms of more basic outcomes is called a

A: Event is the outcome of a random experiment. For example, the occurrence of head atleast once in 2…

Q: Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to…

A: Given  P(A)=0.30, P(B)=0.70

Q: 4. Suppose you have two events, A and B. Assume that P(A) 0 and P(B) # 0. Is it possible for these…

A: Let us first construct two events such that they are mutually exclusive.  Suppose a fair coin is…

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

A:

Q: Nicole packs 3 blouses (A, B, C) and 2 skirts (D, E). c. If event M is wearing blouse C or skirt E,…

A: Given: There are 3 blouses(A,B,C) and 2 skirts(D,E)

Q: According to a government statistics department, 19.6% of women in a country aged 25 years or older…

A: Here, we are given that: P( bachelor degree ) = 0.196 P( never married ) = 0.174 P( bachelor's…

Q: If two events are mutually exclusive, what is the probability that both occur at the same time? A. 0…

A: We have to find correct probability for mutually exclusive events.

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B…

A: Answer -  Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.…

Q: Are the events A and B mutually exclusive? d) Are the events A and C disjoint? e) Are the events A…

A: Given that  S = {1,2,3,4,5,6,7,8,9,10}  A = {1,2,3,4,5}, B = {4,5,6,7,8} C= {7,9}.

Q: 48. Can two events A and B be independent of one another and disjoint? Explain what conditions are…

A: Independent event: Events A and B said to independent if they both are unrelated to each other.…

Q: Which answers describe mutually exclusive events? Select all that apply. showing tails and showing…

A: Head and tail can not occur together. So, showing tails and showing heads with one flip of a coin…

Q: The following table summarizes the number of students at Kiddies Headstart Preschool, categorized by…

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Q: (i) not manu factured in Japan. (ii) is a white car, given that it was manufactured in America. (iv)…

A: Given Information:   Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56 America…

Q: Suppose that A and B are events such that P(A) = 1/3,P(A or B) = 1/2, and P(A&B) = 1/10. a. Are…

A: Given that,P (A) = 1/3P (A or B) = 1/2P (A and b) = 1/10

Q: A company has 100 employees, of which 57 are production workers, 40 are managers of different…

A: Given:

Q: For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

A: Solution: The given table of data is

Q: Suppose three events namely A1, A2, and A3. Show that P(A, U A, U A, ) = P(A,)+ P(A,)+ P(A,) iff…

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Q: Are rolling a 4 and rolling a 3 mutually exclusive events?

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Q: What is the probability of getting an ace (Event A) and queen (event B) happening in a fair hand of…

A: Probability of getting an ace Event A and Queen Event B : 4 C1 and 4 C1

Q: 17. The probabilities of the events A and B are .20 and .30, respectively. The probabilit, that both…

A: Additive rule of probability : P(A or B) = P(A) + P(B) - P(A and B )

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.