Use the venn diagram to answer these questions:  (a)    P(EC ∩ F | F) (b)    P(E ∩ FC | F)

Q: Given the following diagram sketch u-v

A: Given,

Q: 10. Let A, B, and C be sets. Use the identities to show that (A U B) n (B U C) n (A U C) = Ā n Bn T.

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Q: Let A = {a{a}}, B = {0.b}. C = {{0}.c.{0.c}} and D = {0}. Find following cardinalities: a) |4|= |B\=…

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Q: -8. a. Show that if A and B are independent, then P(A|B) = P(A). b. Say we have sets A, B, and C (do…

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Q: Suppose n(A) = 16, n(B) = 29, and n(A U B) = 36. Use a Venn diagram to find n(An B). A B

A: We have, nA = 16nB = 29nA∪B = 36 To determine: The value of nA∩B. Formula Used: nA∪B = nA+nB-nA∩B.

Q: If A={F, T, Y, K, A}, B={F, E, D, R, T}, and C={D, E, L, T, A} then what is ((A∩C)∩B)∪(C∩B)?

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Q: Draw a Venn diagram that represents (S ∪ T) − (S ∩ T).

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Q: Y: The set of yellow pieces H: The set of hexagonal pieces L: The set of large pieces B: The set of…

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Q: Let S = (a, b, c, d, e, f with P(b) = 0.16, P(c) = 0.12, P(d) = 0.29, P(e) = 0.22, and P(f) = 0.11.…

A: Given S = { a, b, c, d , e , f } P( b ) = 0.16P( c ) = 0.12 P( d ) = 0.29 P( e ) = 0.22 P( f ) =…

Q: Exercise 1. Prove that for sets A, B,C we have C \(AUB) = (C\ A) N (C \ B).

A: We have to show that for sets A, B, C   C ∖(A∪B)=(C∖A)∩(C∖B).

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8 } A = {1, 3, 5 } B = {1, 2, 3 } C = {3, 5, 6, 8 } Find: a) n(A) b)…

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Q: What can we measure about the four objects listed below? Be as specific as possible. a.)…

A: Basic: Measurement is process of assigning numbers to the empirical objects or events based on the…

Q: 2. (Problem 4.6) Let A, B be sets. (a) Prove that (b) Prove that P(ANB) P(A) P(B) P(AUB) CP(A) UP(B)…

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Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: In the given question we have to draw the arrow diagram of the relation U,V and W and we have to…

Q: Let S = {a, b, c, d, e, f} with P(b) = 0.21, P(c) = 0.25, P(d) = 0.2, P(e) = 0.1, and P(f) = 0.11.…

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Q: (ANB) u (An B²)

A: Solution-:We draw a venn diagram of