Let the universal set be whole numbers from 1-40. Define events A, B, and C such that A = {2,3,5,7,11,13,17,19,23,29,31,37}, B = {Numbers from 13 to 31 inclusive}, C = {Odd numbers}. Determine the following. a) P(Ā) = b) P(B) = c) P(C|A) =

Q: How many distinct proper subsets are there of the set N= {9, 43, 66, 12, 34, 51, 22}?

A:

Q: Given that A = {2, 4, 5, 6, 8} C = {1,3,5,7,9} B= {1,2,5} = {1,2, 3, 4, 5, 6, 7, 8, 9}

A: A={2,4,5,6,8}B={1,2,5}C={1,3,5,7,9}Ω={1,2,3,4,5,6,7,8,9}

Q: Let S = {1,2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20} be the universal set,…

A: The set B' is calculated using the formula, B'=S-B .

Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

A:

Q: Suppose U = {1,2,3,4,5,6,7,8,9,10}, A = {2,4,6,8,10}, and B = {2,3,5,7}, which values are in A…

A: We have given that,  U = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 } A = { 2, 4, 6, 8, 10 } B = { 2, 3, 5, 7 }

Q: create all the subsets of B= {2,3,5,7,11} and place it in a power set

A: The objective of this question is to create all possible subsets of the set B= {2,3,5,7,11} and…

Q: Let E be the set of even integers and let OO be the set of odd integers. Suppose that a computer is…

A: solution is given below:

Q: If N={1,2,3), then (xlxEN< ? }

A: Given :- N = {1,2,3} Then {x | x ∈ N &lt; ?} Here , N &lt; 4 So, {x | x ∈ N &lt; 4}

Q: How many proper subsets are there in the set {L, M, N, O, P}?

A: A subset of a set is a collection of elements that are chosen from the original set.  the set…

Q: Given:  U = { 2, 5, 8, 11, 14 }             A = { 2, 5, 8, 11 }              B = { 2, 8, 11, 14 }…

A: Solution:-

Q: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: Select all of the following sets that could be the set A if AC {5, 7, 11, 13, 17, 19}. O{5, 7, 11,…

A:

Q: How many 3-permutations of the set S = {a, b, c, d, e} are there?

A:

Q: 6. Show that for n attributes A, A2, A3, ..., An (A, Az Az ... A, ) > ( A, ) + ( A2 )-(A3) + ... + (…

A:

Q: In lectures we have seen that the set {1, 2, . . . , n} has 2n subsets. Now say that a set is…

A: Find the number of set

Q: A1,...,A13 are thirteen different subsets of {1,2,3,4,5,6,7,8,9,10}. If each Aj has 6 elements for…

A: We are given that A1, ... , A13 are thirteen different subsets of {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.…

Q: The probability of choosing an odd number in the given set of numbers 8, 13, 14, 9, 15, 11, 10 is O…

A: Given : Set of numbers : 8 , 13 , 14 , 9 , 15 , 11 , 10.

Q: Is the set O of all odd counting numbers (1, 3, 5… ) closed for multiplication? Why or why not?

A:

Q: A set contains 7 distinct elements. How many subsets can be formed from the elements of S that…

A: Use combination formula

Q: Let S = {Barnsley, Manchester United, Southend, Sheffield United, Liverpool, Maroka Swallows,…

A: We want to find nA∪B'

Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

A:

Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

A:

Q: Let $S = \{25, 30, 35, \dots, 280, 285, 290\}$. That is, it consists of the multiples of 5 from 25…

A: We have S=25 , 30, ...., 290 Now, the first element in the set is 25 and the last element is 290.…

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that,Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Let S be set of integers and for any three numbers say a, b, c E N. Then, a*b* c = max{a,b,c}.…

A:

Q: The cardinal number of ​{2​, 4​, 6​, 8​, ​..., 1002​} is enter your response here.

A: Given the set is  {2,4,6,8,....1002}

Q: Consider numbers of the form a = a₁a2a3 . . . an, with n digits, each digit from the set {1, 2, 3,…

A:

Q: The line of best fit through a set of data is ý = 38.241 – 1.827x According to this equation, what…

A: Given: The line of best fit through a set of data is y^=38.241-1.827x

Q: A person chooses 2 different odd numbers at a time in a set containing the numbers from 3 to 9. If…

A: Introduction: The set contains the numbers from 3 to 9, and it is understood that both 3 and 9 are…