| Suppose you have a well-shuffled deck of cards (A.2,...„J,Q.K). a) How many cards would you have to draw to guarantee that you have two of the same suit? Ex- plain your answer. b) How many cards would you have to draw to guarantee that you have two of the same value? Explain your answer.

Q: of c, for whi + 8 in [2, 4]

A:

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

A:

Q: Show that the statement If n E N and a E Z*, then [Q(Va): = n is false.

A:

Q: 29 Use rules of inference to show that if Vx(P(x) V Q(x)), Vx(¬Q(x) v S(x)), Vx(R(x) → ¬S(x)), and…

A: Properties are used to simplify such statements. Use appropriate one to simplify it and prove the…

Q: If m || n, which statement is true?

A: Given Data: Parallel lines: m∥n   There are two lines m and n parallel to each other and a…

Q: Given B={c, o, d} C={c, d, o} Which of the following is FALSE? OBCC OCCB OC B B = C

A: Solution:-

Q: d) Larry is included and Jun is excluded? ways e) Larry and Jun are included? ways

A: Definition used -             Combination -               Number of ways selecting r objects…

Q: Suppose that (r ^ q) V (p → r) is known to be false. In this case, which of the following statement:…

A: Solution: Given r∧q∨p→¬r is false. Since p→¬r≡¬p∨¬r Therefore, r∧q∨¬p∨¬r is false We know that if…

Q: Given AMNP, Anna is proving m21+ m22 = m24. Which statement should be part of her proof?

A: It is known that, sum of the three angles of a triangle is 180°. Consider the triangle MNP. Then by…

Q: 4. A student asserts that valid reasoning? = O because tends to zero. Is this n=1

A: Consider the given:limn→∞1n2=0

Q: S. Which of the fliowing is te gerl lutin to difiential gu e (a) e+ (b) y (e) yeeoo (4) None of the…

A: Consider the provided question, Given D.E,  y''-4y'+8y=0 We need to find the general solution of the…

Q: In hypothesis testing, the p-value is calculated assuming, is true. O HO O H1 O Both H1 and HO O…

A: Solution

Q: | . ८ g in 6022 on T 3x Symbolic hotation and fractions where needed) Use

A:

Q: O Determine rand s so that, 3.

A:

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: Make the following proofs by applying the rules of inference

A: To find - Make the following proofs by applying the rules of inference                 P, R → T, T →…

Q: n fighter aircraft has left the airbase and travels 30 km due south. On the other hand, a omber…

A:

Q: let d= gedlab) then prone d C and C=ab

A:

Q: a) what is the prob. that tue cho Sen bulb is defective? b) if abulb chosen is defative , what is…

A: First we define some events A : bulb is from factory A. B : bulb is from factory B. E : bulb is…

Q: 6) Using the following sets, determine if each statement is true or false. P = {Belgium, Canada,…

A:

Q: 9. Answer the following questions. From a deck of cards, a card (or cards) are randomly selected. a.…

A:

Q: - What are the values of u, and o,? (2 points) Op -

A: Our aim is to find the following :  a) The sampling distribution of the sample proportion b)

Q: Suppose that P(A/B)=0.2, P(A/B')=0.3, and P(B)=0.8. What is P(A)?

A: GivenP(A|B)=0.2P(A|B')=0.3P(B)=0.8

Q: 2- Two sets P &Q are said to be Equal

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: 27. If k || m || n, which statement justifies the conclusion that 21 = 22 = 23? 3 m 2 k

A:

Q: v 26. Show that if a < c < b, then C-a b favg [a, b] = b favg [a, c] + b favg [C, b] a |

A:

Q: E K 7 21

A: Please see the explanation below

Q: Given that P (A | B) = 0.2, P (A | B ') = 0.3 and P (B) = 0.8, what is the P (A∩B) =?

A: Solution: Given information: P(A|B)= 0.2 P(A|B')=0.3  and P(B) = 0.8

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = &lt;-4, 7&gt;, what is v(n-m)?

Q: Which of the following is equivalent to (p → r) ^ (q → r) p (qAr) O (Pv 9) →r O (PAr) →q O (PV r) →9

A: Given expression isp→r∧q→r

Q: P V Q =>R, A =>-R, A VD EP >D

A: let  P1:P∨Q⇒RP2: A⇒-RP3: A∨D |-P⇒D Using P1:P∨Q⇒R P∨Q⇒R=¬P∨Q∨R               =¬P∧Q∨R…

Q: 6) Using the following sets, determine if each statement is true or false. P = {Belgium, Canada,…

A:

Q: Given that a is false and b is false. Which of the following is FALSE? Oa + b Oa - b Oavb O-a A-b

A: Given: a is false and b is false. To find: Which of the given is false.

Q: Evaluate C,p (1-p)"-* for n= 6, p-0.2, x = 3.

A: Round to four decimals

Q: 7. Establish for A is m × n and B, C are n x p, that A(B+C) = AB + AC

A:

Q: - If p(A) = 0, p(B) = and p(A and B) = 19 100, are A and B independent?

A:

Q: Given that p(A)=.87, p(B)=.71, and p(A| B) =.87, are A and B (a) independent? (b) exclusive?

A:

Q: Suppose P(A) = 5 and P(B) = 3 and A and B are independent. What is P(A and B)?

A: It is given that P(A)=0.5 and P(B)=0.3.

Q: If P(A∩B)=0.28, and P(A|B)=0.4, then   P(B) = ?

A: Solution: From the given information,

Q: In the tottens of the word MATH EMATICS are writen, one on each of ll sepawrate Cords. The cards ave…

A: Total number of word in the word MATHEMATICS is 11.

Q: Which of the following statements is false? O Vr e REnE Z:r·n E Z O vq e Q3n E Z: 4 € Q O 341 E Q\…

A: Real analysis problem......

Q: Write a proof for: "If a = b and c = a -c = b - d" d, then

A: Consider the given equations, a=b and c=d now, by the subtraction law of Equality, a-c=b-c

Q: Let A = {c, d, f, g), B = {f, j}, and C = (d, g}. CsA A) True (B) False

A:

Q: If N{A} 7 and N{B) 7 and N(A U B) = 7, how are A and B related?

A: Given:NA=7NB=7NAUB=7NA∩B=?Formula:NA∪B=NA+NB-NA∩B

Q: 2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

A: Given that, P(A U B) = 0.6 P(A) = 0.4

Q: А D Given: AABC, AB = CB, BD – median to AC , ЕЕ АВ, FE BC, AE = CF Prove: AADE = ACDF, ABDE = ABDF…

A:

Q: Ime the Conv senes, UI de that he test ddes Tiot apply. 00 2 ke - 3k2 k = 1

A:

Q: Given that P(B|A) = 0.33 and P(A) = 0.20, what is P(A∩B)?

A:

Q: Given P(B) = 0.46, P(AandB) = 0.21 , P(AorB) = 0.51 , what is P(A) ?

A: Given, PB=.46PA and B=.21PA or B=.51 The events A and B are not mutually exclusive events since PA…

Q: Ν , Τ Μ Ο ΔΜΟΝ Δ by

A: