1. A = set containing elements of 2 where the 2nd and 3rd balls selected are blue

Q: Assume that you have 6 red balls and 10 blue balls from which randomly to select two without…

A: We have 6 red balls and 10 blue balls from which we randomly select 2 balls without replacement.

Q: 5. (a) Let A ={1,2,3,4,5} and B = {2,3,4}. How many sets C' have the property that C C A and BC C…

A: (a) The given set A is as follows. A=1,2,3,4,5 The subsets of A such that B is a subset of it is as…

Q: black blond blue train o 2 11 truck 0 2 0 car 1 o 3         if we select two randomly…

A: Consider,

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: How many derangements has the set. S? How many derangements of S have 9 in the 2nd position and 1 in…

A: Given, Set S:1,2,.....9 Derangement is a permutation of the elements of a set, such that no element…

Q: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

Q: (c) The solution of the initial value problem is OA. None of the given answers is correct OB. y(x) =…

A: Introduction: The differential equation with the initial condition make up an initial-value problem.…

Q: For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n queens?

A: To find- For each of n = 0, 1, 2, 3, 4, how many 5-card hands from a 52-card deck contain exactly n…

Q: Find the union of the sets {1, 3, 7, 8} ∪ {2, 3, 8}.

A:

Q: one of the two. How do we find the number of individuals who enjoy both coffee and tea?

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

Q: U = {9, 7, 8, 12, 5, 17, 4, 19} A = {9, 4, 19} C = {7, 8, 12, 5, 17} %3D Find AUC' (17, 4, 19) {9,…

A: To Find: A ∪ C'

Q: АЗ. Suppose a fair coin is flipped twice. Let A, = "Head on 1“ Toss" Az = "Head on 2nd Toss" Az =…

A: If any two events are independent in a given experiment, then those events are known as pairwise…

Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all…

A:

Q: Indicate that  R and R2 may be covered by countably many open balls.

A: To show that ℝ and ℝ2 covered by countably many open balls.

Q: A survey in a local high school shows that of the 4000 students in the school, 2000 take French (F)…

A: The total number of students is 4000.2000 take French (F)3000 take Spanish (S)500 take Latin (L)1500…

Q: 19. There are ten tokens, 3 black and 7 white, are to be randomly placed into each of the unit…

A:

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

A:

Q: Suppose we have a set A={1, 2, 3, 4, 5, 6}. What is the partition of A into three parts? Make sure…

A: We can partition of set A as below

Q: without replacement.

A: A bowl contains 7 chips in total . Red (R) = 3 White (W) = 4 We  are randomly drawing 2 chips…

Q: There are three different types of circus prizes marked big (B), medium (M) and little (Z). Each…

A: Given that  big prize(B): 5 R and 8G. Total balls:5+8=13 Medium prize(M): 3R and 2G. Total…

Q: Find the number of permutations of 4 distinct objects. There are permutations.

A: Permutation: Permutation is an arrangement  of items in a permanent order. In permutations  Orders…

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

A:

Q: I have a bucket of n green balls labeled 1, 2, . . . , n. I have another bucket of red balls labeled…

A: The events are occurring simultaneously. So,  Total combinations=combinations for green…

Q: Consider the set A = {2, 4, 6, 8} with an operation defined by the table. 2 4 6 8 2 8…

A:

Q: Is A a subset of B if A = {2, 3, 5, 7, 8, 9, 10} andB = {3, 5, 8, 9}?

A: The given sets are, A=2,3,5,7,8,9,10B=3,5,8,9 A set A can be said to be the subset of another set B…

Q: A universal set U with 48 elements has been partitioned into three subsets, A, B, and C. If B is 5…

A:

Q: Let D (2,5,7}, E= (2,4,5,6) andF=(1,3,4,5,7). List the elements in the set (D UE)N F. (DUE)NF = }…

A:

Q: 1.2-1. A combination lock was left at a fitness center The correct combination is a three-digit…

A: Given Information; The correct combination is a 3 digit number d1d2d3 where di. i=1,2,3 is selected…

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: The set Re defines the set of trees in Riverside Park and set S defines the set of trees on Sleepy…

Q: O Given 20 balls of different colors and 10 bananas, find the number of ways to distribute i-The 20…

A: As per Bartleby guidelines, we are advised to answer one question at a time, I have given you the…

Q: If 1/3 of the blocks in set A are red, and 1/4 of the blocks in set B are red, does it follow that…

A: Given 1/3 of blocks in set A are red and 1/4 of blocks in set B are  red

Q: Use sets U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {2, 3, 7, 8), and B = {3, 4, 5, 6, 7, 9, 10) to…

A:

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls

A: As per the question we have to prove that both ℝ and ℝ2 may be covered by countably many open balls.