You have one suit of a standard deck of playing cards and you use their denominations as the vertex names in a roo tree. The Ace is the designated vertex, the root of the tree. The Jack, Queen, and King are children of the Ace. The prime number cards are children of the King; the even number cards that are not prime are children of the Que and the odd number cards that are not prime are children of the Jack. For all three questions answer with a fraction, for example, 1/2 is a fraction. If you randomly pick a leaf from the tree, what is the probability that you picked a child of the Jack or the King? If you randomly pick a vertex from the tree, what is the probability that it is a parent? What is the probability of randomly picking the King given that you have picked a parent from the tree?

Q: Let ā and b = .Find —ӑ — 6. .Find - ӑ > ||

A: We will find -a-b as following.

Q: Find A - 2B A =

A:

Q: Match the following quadratic functions to their graphs. 2z? - 5z + 1 -2x + 5z + 1 21 + 5z +1

A:

Q: Show that AB = O, even though A ≠ O and B ≠ O.

A:

Q: 71-3 Let B= Find -4B. -562 -4B = 0

A:

Q: dh 5. ds 7 –3/2 + dh + 14; ds 871 -5/2 64

A:

Q: Ae; is the th row of A. O True O False

A:

Q: If 3a - 7 6a, then 9a =

A:

Q: 1- If i= v-1 then i5 = %3D

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: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: Detesmine. i the following ayölem is consirtent? - +3+44-0.

A:

Q: What is the element a32 from A1 1 - 2 - 1 - when A 2 1 1 -1 2 - 3

A:

Q: If then A-¹ = A = 0 0 -1 0 1 1 1 2

A:

Q: 6 A : -2 then A-1 %3D

A:

Q: How many 4-digit number can be formed with the digits 5,2,3,0,4,6 and 7 which are divisible by 5 and…

A:

Q: Let 2 A = 3 and B = -3 Show that AB # BA.

A: Given, A=1232,  B=2-1-34

Q: 9.8 7.3

A:

Q: 3. If AC = 26x-18 and BC = 23-2x, which expression represents AB? A B C

A:

Q: P+ हे-a+7 +4x 15 Put +axŅ if

A: Given rt→=ti^+lncostj^ We have to write a→ in the form a→=aTT→+aNN→ Where, aT=ddtv and aN=aT2+a2…

Q: b b [²xettdx = = 1²e+du O True O False

A:

Q: Pebermine x and such that -4 3 -4 -4 -3 4 -8 4 -4 -2 3. 3. OC

A:

Q: If A - 3 1 determine A?- 2A +I 2

A:

Q: plece of frui ou then return it, and select a different piece of fruit. Find the probability that…

A: Given, the basket contains 6 apples and 5 peaches and randomly selected 2 pieces of fruit To find…

Q: If a is an even number, then a³ is an even number.

A: Here, We have given that (a) is an even number then we have to prove that (a3)  is also an even…

Q: What is the last digit of 52021 + 62021 - 2 2021 a. 3 b. 5 c. 7 d. 9

A: Let us try to establish a pattern between the exponent and the last digit for 2, 5, and 6.

Q: If then A-1 - # 用 A = 1 5 -4 -9 0 0 1 4 -2 0 0 1 0 3 1 , 田

A: By Gauss-Jordan elimination: Let A=IA…

Q: - 14 2 Let B = Find B. 6 0

A:

Q: The letter a is a digit (i.e., 0; 1; ; 9). Find all choices of n so that 278n5 is divisible by

A:

Q: If a, b, and c are real numbers, the associative property of multiplication states that = a(bc).

A: Given a, b, c are real numbers.

Q: A number is very close to zero. Another number is also very close to zero. The quotient, , therefore…

A: Given a number is very close to zero. Another number is also very close to zero. Let α>0 is very…

Q: T 22 1+ ] 3 32 +ㅗ +1 + 42 + S2 1 ㅈ 6 = ? 2

A: You will find Solution  in next step

Q: If an+1 = 2an + 3 and a0 = 1, then a7 =

A:

Q: 2. Determine if w = -1 is in Nul A, where 2 6. A = -3 2 -5 -4

A: Given matrix is A=264-325-5-41 The row transformation of the matrix A is, 10-1011000 The row reduced…

Q: If An B C ANC does this imply that B C C?

A: No, that doesn't imply that B is subset of C.