1. If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, Č = {2, 3, 4, 5}, and D = {1, 6, 7}, list the elements of the sets corresponding to the following events: (a) A u C (d) (C'N D) u B (b) A NB (e) (S N C)' (c) C' (f) ANCND'

Q: List the elements of the set corresponding to A ∩ B.

A: The events A and B are defined as A = {0,2,4,6,8}, B = {1,3,5,7,9}

Q: (a) Suppose 2 = {0, 1,..., 15), A = (0,8), B = {1, 2, 3, 5, 8, 10, 12), C = {0, 4, 9, 15). Determine…

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Q: Two events A and B are independent if... There are 3 different formulas to test for probability…

A: We have given thatTwo events A and B are independent

Q: box contains 5 balls labelled 1, 2, 3, 4 and 5. a player draws a ball from the box randomly. if the…

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Q: 7. If A and B are independent events, then P(A and B)) equals    a. P(A) + P(B|A). b. P(A) ( P(B).…

A: GivenA and B are independent events. Any two events A, B are independent events if occurrence of one…

Q: A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5. Let R be…

A: We have given thatA deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered…

Q: An individual is randomly selected from a population where 80% of people like peanut butter, 89%…

A: Given : People likes Butter (B)=0.80People likes Jelly (J)=0.89People likes Butter  and Jelly(B…

Q: If S = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 3, 5, 7}, B ={6, 7, 8, 9}, C = {2, 4, 8}, and D = {1, 5,…

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Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

Q: = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {4, 5, 6, 7},…

A: Given: S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {4, 5, 6,…

Q: If two events, A and B,

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

Q: For the following, state whether the events created are mutually exclusive and collectively…

A: It is needed to define whether the event is mutually exclusive or collectively exhaustive

Q: The table displays the number and type of tickets bought for a baseball tournament held on a…

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Q: Let A, B and D be events. Show that p(A ∪ B|D) = P(A|D) + P(B|D) − ?(A ∩ B|D).

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Q: Consider the following experiment. A coin is tossed three times and the upper face (head or tail) is…

A: A tree diagram visually represents the sequential flow of an experiment. It starts with the root…

Q: a) determine P(A n B) b) determine P(B u C)

A: It is given that P(A) =.5, P(B)=.3, P(C)=.2. The events A and B are independent and the events A and…

Q: Suppose S = {1,2,3,4,5,6,7,8,9,10} and let A = {1,2,3,4,5}, B = {4,5,6,7,8}, and C = {7,9}. Find the…

A: Two events A and B are said to be independent, if P(A and B) = P(A)P(B).

Q: 9. Events A and B are defined by the sets {1,2,3,4} and {3,4,5,6}, respectively. Find AU B? O A.…

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Q: If A and B are disjoint events with P(A)=.3 and P(B)=.5, then find the value of P(A∪B).

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Q: A deck of cards contains RED cards numbered 1, 2, 3, 4 and BLUE cards numbered 1, 2, 3, 4, 5, 6. Let…

A: Let Red cards are R1,R2,R3,R4 Blue cards are B1,B2,B3,B4,B5,B6 E=the event of drawing an even number…

Q: If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {4, 5, 6,…

A: S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, and A = {0, 2, 4, 6, 8}, B = {1, 3, 5, 7, 9}, C = {4, 5, 6, 7},…

Q: 8. Making a left and a right turn at the same time are: A. independent events B. mutually exclusive…

A: Sol:- The correct option is D, neither independent nor mutually exclusive.

Q: Two events A and B are such that P(A)=0.25, P(B)=0.4, and P(AUB)=0.5. Draw a Venn diagram to…

A: Venn diagram is the diagrammatic representation of the different sets. If there is a common in the…

Q: 2. Suppose S = {7,9}. Find the following probabilities: {1,2,3,4,5,6,7,8,9,10} and let A =…

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Q: If A and B are events such that P(A)=0.55, P(B)=0.35 and P(A U B)=0.7. Then P(A/B) O a. 0.2 O b.…

A: It is given that P(A)=0.55, P(B)=0.35, P(AUB)=0.7.

Q: Let  S = {a, b, c, d, e, 1, 2, 3}  with events  A = {3, 2, b, 1, e}  and  B = {d, 2, c}. Describe…

A: Given that  S = {a, b, c, d, e, 1, 2, 3} A = {3, 2, b, 1, e} B = {d, 2, c}.

Q: 2. If S = { 1,2,3,4,5,6,7,8.9). A = {2,4,7,9}. B = {1,3,5,7,9}. C={2,3,4,5}, and D ={1,6,7}, list…

A: A sample space is the complete set of the possible outcomes. The event is the occurrence of some…

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

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Q: (a) A and Bc; (b) Ac and B; (c) Ac and Bc.

A: Given that,Events A and B are independent events.It can be written as,

Q: If S-{0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2. 4, 6, 8], B- (1, 3, 5, 7, 9), C = {2, 3, 4, 5),…

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Q: a) Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine  (i) P…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: {1,2,3,4,5,6} 2. Let P(A)=0.3, P(B) = 0.9 and P(ANB) = 0.36, then the events A, B are A. Independent…

A: Step 1: It is given that, P(A) = 0.3, P(B) = 0.9 and P(A ∩ B) = 0.36.  Step 2: Two events A and B…

Q: 2. If S= {0,1,2,3,4,5, 6, 7,8,9} ve A={0,2,4,6,8} , B={1,3,5,7,9} , C={2,3,4,5} and D= {1,6,7}, list…

A: I solved exactly first three subparts because of bartleby policy if you want more please upload…

Q: If S= {0,1,2,3,4,5,6,7,8,9} and A={0,2,4,6,8}, B={1,3,5,7,9}, C={4,5,6,7}, and D={1,8,9}, list the…

A: given data   S : {0,1,2,3,4,5,6,7,8,9}   A={0,2,4,6,8} B = {1,3,5,7,9} C={4,5,6,7} D={1,8,9}