Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C S D) = 0.5. Are C and D independent? Explain

Q: Let A be the event that your hole cards are AK, and let B be the event that your hole cards are both…

A: P(A) =P(event of holding ace and king) = 452×452=162704 P(B) = P(event of holding are red ) = 2352

Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…

A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).

Q: Let A and B be events with P (A) = 0.6, P(B) = 0.2, and P(A and B) = 0.03. (a) Are A and B…

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Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

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Q: Q14.What is the probability that the student received grade A or grade B? Q15.What is the…

A: Given Frequency is  A = 11 B = 2 C = 2 D = 0 F = 1

Q: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

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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: For two events E and F, P(E) = 0.30, P(F) = 0.40, and P(E U F) = 0.70. Are E and F mutually…

A: Introduction: The occurrences that cannot occur or cannot occur at the same time are said to be…

Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

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Q: The events of A and B are mutually exclusive. Suppose P(A) = 0.15 and P(B) = 0.35. What is the…

A: Given Information: The events A and B are mutually exclusive. P(A) = 0.15 and P(B) = 0.35 Two events…

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

Q: Let A and B be events in an experiment such that P(A) = 0.89, P(B) = 0.11, and P(A|B) = 50%. Find…

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Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

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Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: 13. Are A, B, and C mutually-exclusive events if P(A) = 0.33, P(B) = 0.35, and P(C) = 0.32? Explain.…

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Q: 1) Let P(A) = 0.2, P(B) = 0.6 and P(A or B) =0.5. Are events A and B mutually exclusive? Why or why…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) = 0.5. Are C and D independent?…

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Q: Q2\ - Suppose that A and B are mutually exclusive events for which P(A) = 0.2, P(B) = 0.7 What is…

A: GivenA and B are mutually exclusive eventsP(A)=0.2P(B)=0.7A and B are mutually exclusive…

Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?

A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…

Q: I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

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Q: Suppose that A and B are events such that P(A) = 2/7 and P(A&B) = 3/25. Determine P(B| A).

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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 A and B are independent events with P(A)=0.9 and P(B)=0.6, find P(A AND B).

A: Given that A and B are independent events. P(A) = 0.9 P(B) = 0.6

Q: (c) State an event which is (i) complementary with G; (ii) mutually exclusive with M.

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Next Question Classity the events as dependent or independent. Events A and B where P(A)=0.8,…

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Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.6, P(B) = 0.8, and…

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Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…

A: use the formula for the probability of an independent event

Q: A dice is rolled once. Let E be the event of an even number coming up, O the event of an odd number…

A: From the given information we want to know the event are independent or not.

Q: The P ( A ) = 0.16 and the P ( B ) = 0.16 . Events A and B are mutually exclusive. What is the P (…

A: Two events are said to be mutually exclusive, if they cannot both occur at the same time. Here A,B…

Q: Let A and B be events with P(A)= 0.4, P(B)= 0.3, P(A and B)= 0.24 (a) are A and b independent?…

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Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

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 & B are independents events i.e. P(A∩B) =…

Q: If A and B are two mutually exclusive events with P(A') = 0.659 and P(B) = 0.273, what is the value…

A: Solution: Given information: Let A and B are mutually exclusive events. P(A')= 0.659  P( A) = 1-…

Q: Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

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Q: 3. Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) Are C and D independent? Explain.

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Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…

A: We have to check

Q: Let A and B be independent events with P(A)equals=1/7 and ​P(B)equals=1/6. Find​ P(A∩B) and​ P(A∪B).

A: To calculate the required probabilities under the condition that A and B are independent events

Q: Let X and Y be the two possible events of an experiment where, p(X) = 0.5, (XUY) = 0.9 and p(Y) = p.…

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Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

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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: Which of the following notation is used for not mutually exclusive events? * P(A or B) = P(A) + P(B)…

A: Given that  Two events A and B are mutually exclusive events.  P(A or B)=P(A)+P(B)

Q: If A and B are independent events with P(A)=0.6 and P(B)=0.2, find P(A AND B).

A: P(A) = 0.6 P(B) = 0.2

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: 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 such that P(AC) = 0.70, P(B) = 0.50, and P(A U B) = 0.60. What is P(An B)?

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Q: If A and B are independent events, with P(A) = 0.2 and P(B) = 0.3,then P(A and B) is?

A: Given, A and B are independent events. P(A)=0.2 P(B)=0.3