If A is a perfect subset of B and P(a < Pb), then P(BA) is equal to O a. P(a) / P (b)

Q: Let m be the least common multiple of a and b. Prove that if p is a prime divisor of m, then either…

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Q: 10. If j and k are both prime numbers, and j> k, which of the following statements must be true? I.…

A: Algebra problem....

Q: Suppose a and b are both integers that are greater than 1. What is Icm(a, a*b)? a None of the…

A: We have find the lcm of given numbers.

Q: Suppose that A, B, C, and D are digits from 1 to 9 and that A + B = CD (a) What digit must C be?…

A: Given that  A, B, C and D are digits from 1 to 9 such that  A + B = CD   (a)  If 1 ≤ A, B ≤ 4 then A…

Q: 2. U={x|x is an integer, 2<x<10}. A and B are subsets of U such that A= {multiples of 3}, B={factors…

A: Using set theory we have to answer following.

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: S = {1, 4, 7, ..., 100}. Let T be any subset of S, where |T| = 20. Prove, or disprove, that there…

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Q: Show that If (A ∩ B = ø) then P (A ∪ B) = P (A) + P (B)

A: Given that A ∩ B = ø This means P(A ∩ B ) = 0

Q: O Show that if A is finite, then P (A) is finite.

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Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

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Q: Theorem) Let p be a prime number. Then applies p|ab --> p|a or p|b

A: Given that P be a prime number and P divides ab To prove P divides a and P divides b.

Q: If A ∩ B = ∅ Find P(A) ∩ P(B)?] With all the steps

A: Power set of A is the set of all subsets of A Since it is given that A∩B=∅ which means there is no…

Q: If m || n and nlp, then nlm. m || p. mlp. n || p.

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Q: Suppose that P(A) = 0.1, P(B) = 0.8 and P(A U B) = 0.3, then P(AnB) = 0.76 O 0.6 O 0.7 None of these

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Q: d, thenab d | | m and b m. Show that if gcd(a, b) Let a and b be nonzero integers with a m.

A: To prove the required divisibility property under the given conditions

Q: Let h be a prime number and let k be some integer. What are the possible values of ged(h+k, h-k)?

A: We have given that ,  h be any prime number and k be some integer. We need to find possible values…

Q: Let p, q, and r be prime natural numbers with p # q and n= p2q. Then, all the subfields of GF(r")…

A: Answer: Option (C) Given that, p,qand r are prime natural numbers and n is positive integer. Let F…

Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a}…

A: The given sets are:A=m∈ℤ m=2a for some integer aB=n∈ℤn=2b-2 for some integer bWe have to show that…

Q: Show that if p is a prime number, a and b are positive integers and p | ab, then p | a or p | b.

A: The objective is to prove that if p is a prime number, a and b are positive integers and p | ab,…

Q: Check that P ˅(Q ˅ R) is equal to ┐(R ˄ Q ˄ P) → P

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Q: If x[n]= {2,0,3,4}, x[(n-2),]= O a. {3,4,2,0} O b. {3,0,2,4} c. (2,4,3,0} O C.

A: The sequence is xn=2, 0, 3, 4. Then,  x0=2x1=0x2=3x3=4 Now, consider the sequence xn-24. Then, we…

Q: Let A = { {a}, {b}, {c}, {d}, {e} } Determine by extension P(A

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Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: Let x be defined as x = x² -x + 1 for all values of x. If p = p -3, what is the value of p? A 1 BO…

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Q: Proposition. For all a, ne Z with n> 2, if a =4n 3n, then a =, 0.

A: To prove - For all a, n ∈ ℤ with n ≥ 2, if a ≡4n 3n, then a ≡n 0

Q: Find all positive integers n such that 2" – 1 | 3" – 1. - -

A: Given 2n-1|3n-1 ,  for n∈ℤ+ To find if the statement is true.

Q: 1. Prove that (fn+1fn+3 – fnfn+4)* = 4 for each positive integer n.

A: We need to prove this, fn+1fn+3-fnfn+42=4

Q: Let A = [ L 1 -1 4 24 2 37 2 1 J , V = Is v in Nul(A)? Type "yes" or "no". no Is w in Nul(A)? Type…

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Q: If P(A/B) = P(A) and P(B/A)=P(B), then A and B are: O A. Mutually exclusive O B. Dependent O C.…

A: Equally likely events:   The two events are said to be Equally likely event if every event has the…

Q: Find P(C1)  l. Find P(V4)  m. Find P(C1 ∩∩ V4)

A: As per guidelines we are allowed to solve maximum of 3 sub parts If you need help with other…

Q: A baseball pitcher threw 3848 pitches during part of a recent season. Of these, 1372 were thrown…

A: a) The given information is, Number of strikes Number of throws 0 1,372 1 961…

Q: (10) Prove that P(A)n P(B) is equal to P(An B) for any sets A and B. What can we say if the…

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Q: Let |4|= 3m and B|= 4 , then |4 B| is m=3.6 إجابتك

A: Given that |A|=3m and |B|=4 find A-1B also m=3.6

Q: For any integers, a, b, c, show that if a|b and a|c, then a|(k1b+k2c) for any k1, k2∈Z.

A: Division Algorithm: Let x and y be two integers with y&gt;0.  Then there exist unique integer q and…

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: Evaluate |⊂(R)| if R={n: n is a factor of 500}

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