The general multiplication rule says that P(A and B)=_______If A and B are events, the multiplication rule simplifies to P(A and B) = P(A). P(B).

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).

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Q: If E₁, E₂ are two events of a sample space S such that E, E₂, then P(E₂-E) 19 P(E)- P(E)

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Q: Find P(A and B) if P(A) is 0.3 and the P(B) is 0.4, and events A and B are independent.

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Q: FA and Bare mutually exclusilve events then,

A: If A and B are mutually exclusive then:

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

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Q: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: If A is the complementary event of A, P(A ) = 1 – P(A)< 1.

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Q: hich of these scenarios describes two dependent events: Pick a card, then pick another card from the…

A: We want to tell you which one is the correct choice

Q: Given that A and B are independent events, show that ?̅ and B are also independent events

A: Given: Given that A and B are independent events, show that ?̅ and B are also independentevents

Q: Suppose that A and B are two events such that P(A) + P(B) < I. a What is the smallest possible value…

A: Given, A and B are two events such that P(A)+P(B)&lt;1

Q: If A, B and C are mutually exclusive and exhaustive events, find P(B) if P(A) = P(B).

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Q: A. Determine whether or not the two events are mutually exclusive, write (ME) if mutually exclusive…

A: We have to determine whether or not the two events are mutually exclusive in each case.

Q: If A and B are independent events, P(A) = .4, and P(B) = .3, find P ( A ∩ B ) = .

A: Given:- A and B are independent events. PA=0.4PB =0.3 We have to calculate PA∩B=?

Q: The rule P (E U F) = P (E) + P (F) - P (EN F) is used for: * all events disjoint events O Any two…

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Q: Which of the following events are mutually exclusive? (A.) A golfer scoring the lowest 18-hole round…

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Q: Example 2.3.16 Assuming that A and B are two equally strong table tennis players, which of the…

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Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

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Q: If B CA and A and B are two events such that P (A) = 3 P (B) and A UB = S find P (B) ?

A: Answer: For the given data,

Q: Given that A and B are independent events, show that A and B are also independent events.

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

A: Two events are independent, if the occurrence of one does not change the probability of the other…

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(A)+P(B)-P(Ав) В.Р(А)xP(В)

A: Given,if A and B are mutually exclusive events .so, P(A∩B)=0

Q: P(B|A) If P(A) = 0.8 P(B) = 0.5 and A and B are independent events, What

A: It is given that, P(A) = 0.8, P(B) = 0.5 and A &amp; B are independents events i.e. P(A∩B) =…

Q: If the events A and B are independent, then so are A and B

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Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

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Q: Fill in the blank/s: If the occurrence of one event has no effect on theprobability of another…

A: If the occurrence of one event has no effect on the probability of another event, the events are…

Q: If P(A) = 0.2, P(B) = 0.4, and A and B are independent events, find P(A and B)

A: Solution: From the given information, P(A)=0.2 and P(B)=0.4.

Q: A steak house cooks its steaks rare, medium rare, medium, or well. Pamela tells the waiter how she…

A: Given that : A steak house cooks its steaks rare, medium rare, medium or well.The above arguements…

Q: Which of the following is correct about the events A and B?

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Q: Use the multiplication principle to calculate the probabilities of all the outcomes listed below.…

A: The probability of intersection of two independent events A and B is simplified as, P(A∩B)=P(A)⋅P(B)

Q: The statement that “?(?|?) = ?(?|?) whenever ? and ? are independent events” is

A: we have given that  independent events .

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: (a) Are the events "male" and "0 activities" independent? V because are (b) Are the events "female"…

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Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: Let A and B be two events such that P (A ∪ B) = 0.6 and P (A ∪ Bc ) = 0.8 Find P (A).

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Q: .The kid is a girl OR the kid prefers Strawberry. Are the events disjoint or non-disjoint?

A: It is given that the random selection of boys and girls were asked about their favourite ice cream…

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

A: Let A and B two events.  A and B are said to be disjoint if PA∩B=0. A and B are independent if…

Q: Aeovem 041 AC iS Ahe complemend of an event A, then fLA)= 1- PCA).

A: It a lemma that P(A')= 1-P(A). P(A') is compliment probability of A.

Q: Two shopkeepers run their business at Nagoya. Shop K sells fish soup, and Shop N sells Sushi. They…

A: From the given information, There are two shopkeepers. Shop K sells fish soup and Shop N sells…

Q: Can you explain: P(M^c ) union P(R)= P(M^c) +P(R) I thought this was true for only mutually…

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Q: Let A and B be two events, and P(A) = 1/2, P(B) = 1/5 and P(B|A) = 1/3. Find the value of P(A|B).

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Q: Decide whether the events are mutually exclusive. Owning a china hutch and owning a calculator Are…

A: An event consists of a set of outcomes of an experiment to which the prob. is assigned.

Q: In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk…

A: Given information:Denote the event of young couples take wedding pictures along with the river walk…

Q: Suppose that A and B are two events for which P(A)=0.22, P(B)=0.82, and P(AandB)=0.36 Find P(A|B).

A: We have to find conditional probability. Formula : P(A|B)=P(A and B)P(B)

Q: The table displays the number and type of tickets bought for a play that was performed in both the…

A: Let A represents 'a child tickets is bought for a play' and B represents 'the play is performed in…

Q: suppose two events A and B are independent, with P(A) = 0 and P(B) = 0. by working through the steps…

A: 1)   Condition for Independence:   If A and B are independent events, then P(A and B)=P(A)*P(B).…

Q: Assume that two events A and B are mutually exclusive. P(A) =.75, P(B) = .25 What is P(AnB)? What is…

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