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

Q: Suppose you have a bag containing 5 blue marbles, 6 yellow marbles, 3 green marbles, and 2 red…

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Q: Suppose an urn contains 12 balls, with 7 red and 5 black. If you randomly select 4 balls without…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: The intersection of events A and B is the event that both A and B occur.

A: We have given that,  The intersection of events A and B is the event that both A and B occur?  We…

Q: When 2 events occur together, their Venn diagrams overlap. O True O Fals

A: We are asked to find the statement is true or false.

Q: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

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: If A is the event “drawing an ace” from a deck of cards and B is the event “drawing a spade”, then A…

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Q: 4. Show that an event A is independent of itself iff P(A) is either 0 or 1.

A: Proof: PA=PA∩A=PAPA  Since A is independent itself.⇒PA1-PA=0PA=1  Since P(A)>0

Q: Suppose that 35% of people have a dog, 21% of people have a cat, and 16% of people own both. someone…

A: Given that,35% of people have a dog21% of people have a cat16% of people own both

Q: Suppose that A and B are events such that: P(A) = —‚P(B) = 10 and P(A or B) = Use rule of sum and…

A: Given Information: p(A)=310p(B)=12p(A or B)=25

Q: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

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Q: Suppose you have a bag containing 5 blue marbles, 6 yellow marbles, 3 green marbles, and 2 red…

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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: If two events are disjoint, can they be independent? If yes, give an example; if no, prove that it…

A: Independent events: Two or more events are said to be independent if the occurrence of one does not…

Q: Two events that cannot occur simultaneously in a single procedure are called

A: Two events are said to be mutually exclusive or disjoint if both events cannot occur at the same…

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: Are the events male cheated and female right independent? Show the computations needed to justify…

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Q: A fair spinner contains the numbers 1, 2, 3, 4, and 5. For an experiment, the spinner will be spun 5…

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Q: Event C is defined as the set of positive even integers; Event E is defined as the set of odd…

A: Mutually Exclusive Events: Another name of Mutually exclusive events is Disjoint events. An event is…

Q: You randomly select an integer from 0 to 4 ​(inclusively) and then randomly select an integer from…

A: Given :- numbers from 0 to 4 has 5 numbers n1 = 5 O to 39 has 40 numbers n2 = 40

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: 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: James rolls a die once. If event A is getting an odd number, and event B is getting an even number,…

A: We have to find

Q: If A, B are mutually exclusive events, then the probability that A does NOT occur given that B…

A: if A and B are mutually exclusive events then A∩B=∅ i.e. P( A∩B)=0 let A¯ is complement of A. now,…

Q: If events A, B, and C are independent, show that(a) A and B ∩ C are independent;(b) A and B ∪ C are…

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Q: Suppose that 22% of people have a dog, 15% of people have a cat, and 2% of people own both. What is…

A: Given that, 22% of people have a dog15% of people have a cat2% of people own both

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

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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: Amanda has 3 office assistants. If A is the event that at least 2 of them are men and B is the event…

A: Given data: The total number of assistants are n=3. The expression for the sample space of selecting…

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

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Q: Suppose the new york yankees play a double-header (two games on the same day) using W for a win and…

A: To find total possible events

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

A: solution Solution

Q: One coin is tossed twice. Case A is the first shot coming in tails, case B is the second shot coming…

A: It was stated that a coin is tossed twice. Case A is the first shot coming in tails. case B is the…

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: Suppose that a current die is rolled two consecutive times. be: A: = "the sum of the results…

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Q: Suppose 15% of cereal boxes contain a prize. You are determined to buy cereal boxes until you win a…

A: Given:  p = 0.15 Let X represents the number of cereal boxes X follows geometric distribution

Q: You randomly select an integer from 0 to 7 ​(inclusively) and then randomly select an integer from 0…

A: First it is needed to select an integer from 0 to 7, inclusively.

Q: When an event is an independent event, its occurrence does not affect nor is it affected by another…

A: If the event does not depend on the other events then the event can be termed as independent event.

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

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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: If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B)…

A: Disjoint events : if two events A and B are disjointevents then the two events can not occure at the…

Q: if event A and B B are independent with P(A) = 0.4 and P(B) -0.2, than p(Aand B)- True False

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

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Q: Suppose that A, B and C are three independent events such that P(A)=0.2, P(B)=0.5 and P(C)=0.1.…

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Q: Thank you

A: Solution:Independent events are those when the happening of one event does not impact the happening…

Q: Two boxes A and B contain 1. 2 red balls and 6 white balls, and B contains 2 red and 1 white ball.…

A: given   0.458 is the answer please check the below attachment

Q: Two coins are tossed. If A is the event "two heads" and B is the event “two tails " ar A and B…

A: S={HH,HT,TH,TT} A={HH} B={TT}

Q: Any 2 events that cannot occur together are called O Complements O Outcomes O Simultaneous O…

A: In this case, we need to find the correct option for the given statement.