If P(A) = 0.76, P(A ∪ B) = 0.91, and P(A ∩ B) = 0.54, then P(B) = _____.   a. 0.69     b. 0.15     c. 0.54     d. 0.24

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: If P(B) = 0.30, P(A ∪ B) = 0.65, and P(A ∩ B) = 0.15, find P(A).

A: Given;           PB=0.30PA∪B=0.65PA∩B=0.15 Find; PA If A and B are two different events then…

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: Find a and b such that a = 9 = 0 - a -1 +6 10 6

A:

Q: i. ii. iv. (A U B) iii. AnB (A U B)C vi. An BC V. An B AC n BC

A: The given Venn diagram is:

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: If P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7, find P(ANB). P(AUB).

A:

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

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: if N { A U B }= 90, N {A}= 50, and N{B}= 45, find N {A n B}

A: Given :NAUB=90  NA=50 NB=45

Q: given that P(A or B) = 1/3, P(A) = 1/7, and P(A and B) = 1/8, find P(B) a. 101/168 b. 159/168 c.…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:\

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: (a +3)2 = 25 %3D

A:

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: If P(A) = 0.45, P(B) = 0.55, and P(AUB) = 0.78, then P(A|B) =

A: Given that, P(A)=0.45P(B)=0.55P(A∪B)=0.78

Q: 2y³ . 3xy³ 3x²y4 2,4

A: Given,           2y3·3xy33x2y4

Q: Simplify. (3)-³ Select one: 12 a. b. 4/2 - 125 64 C. c. 1/1/2 d. - 64 125

A: The answer is given below:

Q: 1. Find AB. 5

A: Given : A right-angled triangle ∆ABC, ∠A = 45°∠C = 90°AC = 9

Q: Whta is 1+1=

A:

Q: If n(A) = 46, n(B) = 19, and n(A n B) = 8, find n(A u B) %3D

A: Given Data: The number of elements in set A is: n(A)=46 The number of elements in set B is: n(B)=19…

Q: consider the following matrices with given dimensions А: 3x4 B: 3 x 4 С: 4 х 2 D: 4 x 2 E: 4 x 3…

A:

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: P(A) = 0.4 and P(B) = 0.6. If A and B are mutually exclusive, what is P(A or B)

A: Given that A and B are mutually exclusive. P(A) = 0.4 P(B) = 0.6

Q: If ​P(A)=0.6​, ​P(B)=0.5​, and A and B are​ independent, find​ P(A and​ B).

A: If A and B are independent the P(A and B) = P(A)*P(B).

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A:

Q: If a=3 and b=4 then c must =?

A: We know that if the triangle one angle is 90 degree then the triangle is called Right angle triangle…

Q: If P(A) = 0.45, P(B) = 0.55, and P(A ∪ B) = 0.78, then P(A | B) =   a.  0.00   b.  0.45   c.…

A: