If A is a perfect subset of B and P(a < P(b)), then P(B - A) is equal to Select one: O A. P(b) - P(a) O B. P(a)P(b) O C. P(a) + P(b) O D. P(a) / P(b)

Q: uate: S dz V4z+z? zp=

A:

Q: 3. Integer Representation (48)10 = D16 (67)8 = C D10 = C D16 (4F)16 = C D10

A: For  (48)10 Hence (48)10 = (110000)2 = (60)8 = (30)16

Q: Use the set A = {2} to determine n(A). n(A) =

A: We have given a set  A=2 Number of elements in set A is 1. nA=1

Q: Which of the following sets are closed? Choose ALL that apply. Show the steps. I. The set of…

A:

Q: Find P(A∪B)

A:

Q: Use the given information to find n(A× B) and n(B × A). n(A) = 67 and n(B) = 4 Find the number of…

A: Note:- Cartesian product of two sets is obtained by pairing each element of first set with each…

Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

A:

Q: Let A and Bbe everts satisfying P(A)=04, P(B)-0.6 and P(An B)-01.Find P(A B)

A: P(A) = 0.4 P(B) = 0.6 P(A∩B)=0.1

Q: Evaluate. (a) (– 6)2 (b) -6

A:

Q: Let B : and i Then (7)8

A:

Q: Find n(A) for the set. A= {5, 5, 6, 6, 9, 9} O A. n(A) = 10 O B. n(A) = 3 O C. n(A)= 6 O D. n(A) = 5

A: We have to find nA for the set, A=5, 5, 6, 6,.....,9, 9 nA is the number of elements present in the…

Q: P=1+3 xy 0, 24. It is known that the possible values of P are (1) - 4 (2) 0 (3) 2 (4) 7 If (A): (1);…

A:

Q: Use the following sets: A={Factors of 50} B={odd numbers} Which elements are found in A∩B?

A: A={Factors of 50} = { 1,2,5,10,25,50}  B={odd numbers} ={1,3,5,7,9,11,......}

Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: 6. In a group of 60 people, 27 prefer cold drinks and 42 prefer hot drinks, with each participant…

A: Given that  We have to find the number of individual who enjoy both coffee and tea:…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where repetition of symbols is allowed.

A: We have to count the number of 3-combinations with repetition allowed, we can use the concept of…

Q: Let A = {a, b, c, d}. Find the number of 3-combinations of A where no symbol is repeated.

A:

Q: ition 1.3 3 4 う 3. 2 2. 2.

A: Use the table to evaluate each expression. a) f(g(1)) b) g(f(1)) c) f(f(1)) d) g(g(1)) e) (g • f)(3)…

Q: Let A = {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find A n C. ||

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

Q: 200 (28+31-8 (2) +4 (9) +15)

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”.