Question: Let U be a given universe with A, B U, A B = , |A| = 12, and |B| = 10. If seven

Let U be a given universe with A, B ⊂ U, A ∩ B = θ, |A| = 12, and |B| = 10. If seven elements are selected from A U B, what is the probability the selection contains four elements from A and three from B?

Step by Step Solution

★★★★★

3.31 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Since A B 0 A U B 12 10 22 There are ways to ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

954-M-L-A-L-S (7551).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

If U is a given universe with (fixed) S, T U, define g: P(U) SP(U) by g(A) = T D (5 U A) for A c ll. Prove that g2 = g.

(a) Let p (x), q (x) be open statements in the variable x, with a given universe. Prove that x p(x) x q(x) x [p(x) q(x)]. [That is, prove that when the statement x p(x) x q(x) is true, then the...

Let U be a random variable uniformly distributed over [0, 2]. Define X = cosU and Y = sin U. Show that X and Y are dependent but that Cov(X, Y) = 0.

Let U be a given universe with A, B U, |A B| = 3, |A U B| = 8, and |U| = 12. a) How many subsets C U satisfy A B C A U B? How many of these subsets C contain an even number of elements? AUBSDS...

There are 25 problems. Problems #1-12 are Multiple Choice. Problems #13-15 are Short Answer. (Work not required to be shown) Problems #16-25 are Short Answer with work required to be shown. MULTIPLE...

Teuro5 For the year ending December 31, 2021, the Company's income statement is as follows: Revenues $1,093,000 Expenses: Cost Of Goods Sold ($206,000) Administrative Costs ( 152,000) Amortization...

1. [-11 Points] DETAILS SMITHNM13 2.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let U = {9, 10, 11, 12, 13, 14, 15}, A = {9, 10, 11, 12}, B = {9, 10, 13, 14}, and C = {11, 13, 15}. List all the...

1) Consider f : P2 - P2 defined by T[f (c)] = cand T[f (x)] = f(x + 2), f(x) EP2. Find the matrix of T with respect to the standard basis and the basis {x- + x + 1, x, 1} 2) Check whether the...

40. Find dy in terms of x and y for the function x + y = 6. dx y a. . X b. 6 dy 2 X N - + y c . a dy y dy 2 12 d. dry dx 2 d'y y e. dx 2 41. The function f(x) = x has two tangents drawn to it at the...

1. For the set X = {a, b, c, d, e}, list all of the subsets having exactly two elements. How many are there? Question 2. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, and define A = {3, 6, 9, 12},...

70. Your opinion is that security C has an expected rate of return of 0.106. It has a beta of 1.1. The risk-free rate is 0.04 and the market expected rate of return is 0.10. According to the Capital...

A corporation issued 5,000 shares of $10 par value common stock in exchange for some land with a market value of $70,000. The entry to record this exchange is: Land account debit 70000 Common stock...

[The following information applies to the questions displayed below.] Lab Insight: To evaluate the collectability of accounts receivable, companies analyze how long the receivables have been...

Four squares with sides 5 in. long are cut from the corners of a rectangular metal sheet that has an area of 340 in2. The edges are bent up to form an open box with a volume of 350 in3. Find the...

Find the vertex, the focus, and the directrix of the parabola. Then draw the graph. a. y2 = 12x b. x2 - 6x - 4y = -17

Find the equation of a parabola satisfying the given conditions. a. Focus: (0, 3); directrix: y = 1 b. Focus: (-4, 6); directrix: x = 2

Thornley Machines is considering a 3-year project with an initial cost of $618,000. The project will not directly produce any sales but will reduce operating costs by $265,000 a year. The equipment...

onconstant Growth Stock Valuation Assume that the average firm in your company's industry is expected to grow at a constant rate of 7 % and that its dividend yield is 8 % . Your company is about as...

Horn Products Ltd manufactures two types of lotion girls and boys. Both lotions are produced using the same equipment and similar processes. The following budgeted data has been obtained for the year...