In a new card game, you start with a well-shuffled full deck and draw 2 cards without replacement. If you draw 2 hearts, you win $50. If you draw 2 black cards, you win $30. For any other draws, you win nothing. The game costs $4 to play. Let X; denote the possible NET winnings. All Hearts All Black X1 X2 P(X = X;) P(X = X1) P(X = X2) P( Find the following: X1 = X2 = X3 = P(X = X1) P(X = X2) P(X = X3) = What is the expected value and standard deviation of the NET gains? Does the game favor the house, the player or break even?

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: What is the value of x in the diagram? 2x+3 2x+2

A: ∆ABC is a right angle triangle. The length of the side AB=2x+2 units. The length of the side BC=2x+3…

Q: Use the union rule to answer. If n(A) = 6, n(B) = 11 and n(An B) = 5, what is n(A U B)? n(A U B) =

A:

Q: C is between A and D. if A C = 2 x + 10, C D = 6 x + 2, and A D = 10 x + 4, then A D =________

A:

Q: Suppose that you have 6 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given n(G)=6 n(Y)=5 N=11

Q: Let a = (- 3, 5, – 5) and b = (3, 5, – 1). Find - 3å + 26. - 3å + 26 =

A:

Q: Evaluate. 5. 1)? X(X dx 1 5. 2. x(x² 1)2 (Type an exact answer.) I3D

A:

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: = Let A = 9 -6-1 Find 4A + 3B. 4A + 3B = 7 and B = -2-5 7 8 (...

A: We will find the required.

Q: -4 c4x Evaluate . So S dydx.

A:

Q: Let A=[-5   -8]            [   7   4]   Find -4A

A: Given the given matrix is A=-5-874

Q: Let a =(3, -3, 8), and B = (-7, -1, 3), and = (8, 4, 11). Find ||2ä - 36||.

A:

Q: Let A = [0  2]              [5 -2] Find -4A.  -4A =

A:

Q: Fincl the gencral Solutun Fer 2. xव 2.

A:

Q: Find the values of c1, c2, and c3 so that c1 (4, –6, 2) + c2(-4, 3, 0) + c3 (-2,0, 0) = (-4, –3,…

A:

Q: . If an+1 = 2an + 3 and ao = 1, then a7 509 513 496 487

A:

Q: Let z = and w = . 15 a. Find w +z=<-11 b. Find w - 2z = <6 -22

A:

Q: 3 =+ 5 3 1 6

A: Given, 12+1335+16

Q: If a = (2, -1, 4) and b = (8, 2, 1), find the following. a × b = -9,30,12 X bx a = -9,- 30, - 12

A:

Q: Suppose that you have 5 green cards and 5 yellow cards. The cards are well shuffled. You randomly…

A: Given information: A in set of 10 cards, 5 are green cards and 5 yellow cards. The cards are well…

Q: If e7 23, then x =

A: Given,          e7x=23

Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

A:

Q: Let a (5, 1, 1) and b = (- 5, 1, 2). Find a × b. x V A

A: