Let A = {0, 1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, and C = {0, 2, 4, 6, 8} a. Find A ⋃ B. b. Find A ⋂ C. c. Find A − B. d. Find C − B.

Q: let A= {1,2}, B={2,4,6}, R: A? =B, then find R

A: By use of simple Relation Methodology

Q: If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

A: Bayes' theorem can be used to compute conditional probabilities and isexpressed as P(A|B)…

Q: Show that If (A ∩ B = ø) then P (A ∪ B) = P (A) + P (B)

A: Given that A ∩ B = ø This means P(A ∩ B ) = 0

Q: If P(A or B)= 0.8, P(A)= 0.5 and P(A and B) = 0.25, find P(B)

A:

Q: If ​P(B)=0.25​,​P(A | ​B)=0.5​0,​P(B′​)=0.75​,and​ P(A | B′​)=0.9​0, find​ P(B |​ A).

A: We have given that P(B)=0.25​ P(A | ​B) = 0.5​0 P(B′​)=0.75​ and​ P(A | B′​)=0.9​0 We have to find​…

Q: determine whether AB is equivalent to P Q. A = (0, 0, 0) B = (-4, 2, 3) Р%3 (4, —2, —3) Q3 (0, 0, 0)

A: The general equation of the vector connecting the two points P1x1,y1,z1 and P2(x2,y2,z2) in the…

Q: If n(A) = 62, n(B) = 21, and n(An B) = 3, find n(A U B).

A:

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: If P(A) + P(B) = 0.9, P(A N B) = P(B nA) = 0.25,Then P(ANB) = 0.4 0.5 0.2 035

A: We have to find correct answer for given question .

Q: Given A {1,2,3,4}, B = {2,4,6,8}, and C {1,3,5,7,9}. Find: a) ANB b) BUC c) (ANB)N (BU C)

A: Given- A=1,2,3,4, B=2,4,6,8 and C=1,3,5,7,9 To find- The value of  aA∩BbB∪CcA∩B∩B∪C

Q: If P (A) = 0.57, P(B) = 0.5, and P (A and B) = 0.48, find P (A or B). P(4 or B) =O

A: We have given that,  A and B are two events with P(A) = 0.57,          P(B) = 0.5 and P( A and B) =…

Q: If P(A) = 0.29 P(B) = 0.42, P(AN B) = 0.16, find P(AN B) =?

A: Given: PA=0.29 PB=0.42PB=1-PB         =1-0.42         =0.58 PA∩B=0.16

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: Let  U = {1, 2, 3, 4, 5, 6, 7, a, b, c, d, e}.  If  A = {1, 2, a, e}  and  B = {1, 2, 3, 4, a, b,…

A: We know, If X is a set.  Then n(X) means number of items in that set. And suppose U be an universal…

Q: If P(A) = 0.2, P(B|A) = 0.45, P(A ∪ B) = 0.67, find P(B)

A: Given,   P(A)=.2P(BA)=.45PA∪B=.67 We have, PA∪B=PA+PB-PA∩B ⇒PB=PA∪B+PA∩B-PA…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue, black}. Find the number…

A: To find the indicated number.

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green}. Find the number indicated. n(B ✕ C ✕…

A: Given Data: From the given data, Here, n(A), n(B), and n(B) represents the number of elements in…

Q: If P(A)=0.32, P(B)=0.16, and P(A | B)=0.625, find P(A and B), P(A or B) and P(B|A).

A: This question is based on Probability formula.

Q: lete the table below. 5.9 x→b 5.99 5.999 6.001 6.01 6.1

A: Topic:- application of calculus

Q: let a, b, c, d, four consecutive positive numbers show that g.c.d (a, b, c, d)=1

A: Given :- a, b, c, d, four consecutive positive numbers. As a,b,c,d are consecutive positive numbers…

Q: If ​P(B)=0.55​,P(A | B)=0.9​0, P(B′​)=0.45​, and​ P(A | B′​)=0.4​0, find​ P(B |​ A).

A:

Q: if P(A) = 0.3, P(B) = 0.4, and P(A|B) + P(B|A) = 0.6. Find P(A ∩ B)

A: We have given that,  Let A and B two events with probabilities,  P(A) = 0.3, P(B) = 0.4, and P(A|B)…

Q: If n(A) = 67, n(8) = 15, and n(A N B) = 9, find n(A U B).

A: Topic- sets

Q: Let​ n(U) = 40​, ​n(A ∪​ B)′ = 6​, and​ n(A) = 19​, find​ n(B –​ A).   ​n(B –​ A)

A:

Q: Q) Let x = {1,2, 3, 43 and P=3{はっぽ2,33っ43 Find

A:

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green}. Find the number indicated. n(А x Аx С)

A:

Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

A:

Q: If P(A) = 0.4 and P(B) = 0.3, Find P(A or B) if A and B are independent.

A: P(A) = 0.4 P(B) = 0.3

Q: Let the input of a subtractor is A and B then what the output will be if A = B? (а) (b) 1 (c) (d) A…

A: Let the input of a subtractor is A and B then what the output will be if A=B?

Q: Let A = {a, b, c}, B = {1,2, 3} How many elements are in A × B? Determine A × B

A:

Q: Evaluate z=x−μσn if x=92.4​, μ=17.8​, σ=1.2​, and n=63

A: Given, n=63, x=92.4​, μ=17.8​, and σ=1.2​

Q: Let A={H,T},B={1,2,3,4,5,6},and C={red,green,blue}. Find the numbers.  n(B×B)

A:

Q: If P(A) = 0.3, P(B) = 0.8, and P(A or B) = 0.9, find P(A and B). P(A and B) =

A:

Q: Let A = {h,1,o}, B = {7,8), C = {7}. AXBXC = { CXBXA = { BXBXB={

A:

Q: Given: P(A) =0.70, P(B)=0.60, P(A or B) =0.88. Determine P(A and B). Given: P(A) =0.70,…

A: Given: P(A) =0.70, P(B)=0.60, P(A or B) =0.88. Determine P(A and B). Given: P(A) =0.70, P(B)=0.60,…

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue}. Find the number indicated. n(B…

A:

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue, black, white}. Find the number…

A: Given sets, A=H,T , B=1,2,3,4,5,6, & C=red,green,blue,black,white A×A×C is the set of ordered…

Q: If P(A) = 0.2, P(B) = 0.7, and P(A and B) = 0.1, find P(A or B).

A: Given that  If P(A) = 0.2, P(B) = 0.7, and P(A and B) = 0.1 To find P(A or B).

Q: Let  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e}.  If  A = {1, 2, a, e}  and  B = {1, 2, 3, 4,…

A: (a)     n(Ac) = n(U) - n(A) = 14 - 4 = 10

Q: For X, = 27, n, = 80, X, = 26, and n, = 65, findp and q.

A:

Q: If P (A|B) = },P (A|B®) = }, ,and P (B) = then P (A) is equal to

A:

Q: If P(A) = 0.2, P(B) = 0.2, and P(A and B) = 0.1, find P(A or B).   P(A or B) =

A: Given data, P(A) = 0.2 P(B) = 0.2 P(A and B) = 0.1 P(A or B)=?   P(A or B)= P(A)+P(B)- P(A and B)…

Q: Let A={1,2,3} and B={a,b,c}, then: .a None .b AcB .C A=B

A: For the given sets we need to find the correct option .

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = {red, green, blue, black, white, yellow}. Find the…

A: According to the question

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: Find p and q, if X, = 11, n = 30, X, = 18, and n, = 70. A) p= 0.29 and q= 0.71 B) p= 0.71 and q=…

A:

Q: If P (A) =0.45, P (B) =0.7, and P (A and B) = 0.4, find P (A or B).

A: Given,P(A)=0.45P(B)=0.7P(A∩B)=0.4

Q: Let A = {H, T}, B = {1, 2, 3, 4, 5, 6}, and C = n(A x A x A) {red}. Find the number indicated.

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.