Event A occurs with probability 0.2. Event B occurs with probability 0.3. Event C occurs with probability 0.4. If A,B, and C are disjoint, then: A) P(A or B or C) = 0.9. B) P(A or C) = 0.6. C) P(A or B) = 0.5. D) All of the answer options are correct.

Q: If the knowledge that an event A has occurred implies that a second event B cannot occur, then the…

A: If the knowledge that an event A has occurred implies that a second event B cannot occur, then the…

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: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? .... What…

A:

Q: • Consider three football teams A, B and C. In a regular game, A beats B with probability p and…

A: Given, Probability that A beats B = p Probability that A beats C = q p > q So, probability that A…

Q: Regular 24% 20% Decaf 20% 10% domly selecting such a is the probability that t

A: small  medium  large regular  0.24 0.2 0.16 decaf 0.2 0.1 0.1   for better understanding…

Q: If 30% of the people in a community have internet access from their homes, find the following…

A: also the number of trails of the experiment should be known and also , the probability of success p…

Q: If a hockey team wins 60% of their games, what is the probability they win all of their next 3…

A: Given information: Given that the hockey team wins 60% of their games. They plays 3 games.

Q: 1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls…

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Q: A man wants to marry a girl having quality (i) white complexion and the probability of getting this…

A:

Q: Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes,…

A:

Q: If A denotes some event, what does A denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

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Q: A factory has 3 machines A1, A2 and A3. Based on experience in the probability of the machine being…

A: Obtain the probability of buying a new machine. The probability of buying a new machine is obtained…

Q: If I draw three numbers a, b, c uniformly at random from the set {1, 2, 3, 4, 5, 6, 7, find with…

A: Three numbers a,b,c uniformly at random from the set {1,2,3,4,5,6,7,8,9}, To find the probability…

Q: 1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls…

A: Given problem Given that   Red balls = 3 White balls = 2 Total balls = 5

Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

A:

Q: When 2 balanced dice  rolled,    Let, A =event the red die comes up even, B =event the black die…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The probability that Alice arrives on time is 80%. The probability that Bob arrives on time is 40%.…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be* 2.

A: Answer: If the outcome of event A is not affected by event B, then events A and B are said to be…

Q: Suppose that the probability of event A is 0.4 and the probability of event B is 0.2. Also, suppose…

A: Given data, P(A)=0.4 P(B)=0.2  Also given that A and B are independent events. P(A|B) =?

Q: If A denotes some event, what does A denote? If P(A) = 0.993, what is the value of P(A)? If P(A) =…

A:

Q: If the knowledge that an event A has occurred implies that a second event B cannot occur, then the…

A: a) Event A has occurred and event B can not occur then the events A and B are said to be disjoint .…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be…

A: Definition of independent events.

Q: From a standard deck of 52 playing cards, two cards are drawn in succession and at random without…

A: There are 52 cards in a standard deck. The number of ways 2 cards can be selected without…

Q: A student who is trying to write a paper for a coursehas a choice of two topics, A and B. If topic A…

A: Given Data: The probability of arriving book at the correct time is: p=0.9 The expression to…

Q: Suppose that event A and Event B are independent events. Which of the following statements is NOT…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: tudent has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(A N B) = 0.3,…

A:

Q: Two Fair dice, one red and one black as shown in fig 4B, are thrown. Let A denote the event that the…

A: Given: A = red die shown an even numberB=black die shows a 6 or 7N = number of sample…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be mutually…

A: Independence condition: If A and B are independent events, then P(A and B)=P(A)*P(B). That is,…

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A: Given data, P(A)=0.5 P(B)=0.7

Q: 4. Based on the information provided and probabilities computed in (1) to (3), which seamstress will…

A: 1) From the given information, Marcella takes 20 to 40 minutes to cut the basic cloth pattern. Let X…

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: A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls…

A: Given problem Given that   A bowl contains 5 white balls, 10 red balls and 15 blue balls . You are…

Q: Consider two events A and B. Use Venn diagram to show that (AU B) \ A = B\ A

A: For any two events A and B. Using venn diagram,  we need to show that: (AUB)\B = B\A

Q: Of the students at a certain university, 60% think their courses are challenging (C), 35% think…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: If event A and event B are as above and event A has probability 0.3 and event B has probability 0.1,…

A: The following information has been given: Event A has probability P(A)=0.3 Event B has probability…

Q: A computer-consulting firm presently has bids out on two projects. Let A= [awarded project 1] and B=…

A: Given :  P(A) =0.75P(B)=0.35P(A and B) =0.20

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: CONSIDER two events A and B PROVE that if Bc A then P(B) < P(A)

A: We have to answer question based on set

Q: Given that event E has a probability of 0.67, the probability of the complement of event E _____.…

A: We have given that,  Given that event E has a probability of 0.67, the probability of the complement…

Q: If A denotes some event, what does Ā denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

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Q: If A, B, C, and D are independent event Prove that AUB and C- D are independent.

A:

Q: Show that the multiplication law P(A B) = P(A/B) P(B), established for two events, be generalized to…

A: GivenLet A and B be any two events. The conditional probability of occurrence of A given that event…

Q: 1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls…

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Q: 4, 5 balls in a box, three are red, and two are white. If two balls are drawn together from the box,…

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Q: Suppose Dan wins 40% of all his chess games. If Dan is to play 4 games, what is the probability Dan…

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Q: 1. If two balls are drawn from the box with replacement, compute (a, b, c, and d). 2. If two balls…

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A: Given data: The given expression to prove is P(A∩B∩C)=P(A/B∩C) P(B/C)P(C). The given expression for…

Q: If A, B, C, and D are independent events. Prove that A U B and C – D are independent.

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Q: Event C : drawing a card from a deck; event d : without replacement ( without putting the previous…

A: Given that, Event C : drawing a card from a deck; Event D : without replacement ( without putting…

Q: An experiment can result in one of five equally likely simple events, E1, E2, . . . , E5. Events A,…

A:

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.