A fair die is tossed. Consider events A = {1,3,5}, B = {2,3,5}, C = {1,2,3,4}. Find: (a) P(AB) and P(AUC) (b) P(A/B) and P(BIA) (c) P(A/C) and P(CIA)

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

Q: Suppose that A, B are two independent events, with P(A) = 0.3 and P(B) = 0.4. Find P(A and B)

A:

Q: If A and B are events with P(A)=0.5, P(B)=0.3, P(A OR B)=0.67, find P(A AND B).

A: given data  P(A) = 0.5 P(B) = 0.3 P(A∪B) = 0.67P(A∩B) = ?

Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

A: If A and B are independent events then  P(A and B) =P(A) ×P(B)

Q: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

A:

Q: 1) Events A and B are mutually exclusive. P(A) = 0.35, P(B) = 0.56. Find a) p(not A) b) p(A and B)…

A: As per Bartley guideline expert have to answer first question only since I had done all for you.

Q: If A and B are events with P(A)=0.2, P(A OR B)=0.74, and P(A AND B)=0.06, find P(B).

A:

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AIB) = 0.1 Then P(A|AUB) is

A: Given that Two events A and B  P(A)=0.5 P(B)=0.3 P(A/B)=0.1 We have to find P(A/AUB)

Q: Two events A and B are independent. A occurs with a probability of 20% and B with a probability of…

A:

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: If A and B are events with P(A)=0.4, P(A or B)=0.53, and P(A and B)=0.07, find P(B)

A:

Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: If two events, A and B,

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: The events A, C are disjoint and P (A) = } and P(BnC) = %3D Find the value of P(AU(B®UC©)°)

A:

Q: Given P(A c ) = 0.6, P(B) = 0.7 and P(B|A) = 0.35, a). Can events A and B be mutually exclusive?…

A: Given: PAc=0.6, PB=0.7 and PB|A=0.35.   Then, using the definition of complement,PA=1-PAc=1-0.6=0.4

Q: Events A and B are independent, where P(A) = 0.25 and P(B) = 0.10. Determine P(A∩B).

A:

Q: Congrssional terms is shown as follows :given the summary from the 112th congress of senators whose…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

A:

Q: A coin is tossed twice. Let A=event the 1st toss is head, and B=event the 2nd toss is head. Find…

A: Given information- We have given that a coin is tossed twice. So, probability of getting 1st toss…

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose that C and D are independent events such that P(C) = 0.7 and P(D) = 0.6. Find (C&D).

A: Two events C and D are said to be independent if,

Q: You may need to use the appropriate technology to answer this questlon. The following data are…

A:

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Let a&b be events with p(a)=0.2,p(b)=0.8, & p(b/a)=0.3. Find p(a&b)

A: Given Information: A and B are two events. P(A) = 0.2, P(B) = 0.8, P(B|A) = 0.3 To find the…

Q: The Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given…

A: Given that P(A)=0.35, P(B) = 0.22, P(C)=0.18 P(A and B) 0.11, P(A and C)=0.03, P(B and C)=0.08 , P(A…

Q: I) A fair coin is tossed 4 times. Let A; be the event: ith toss results in Heads. Let B be the…

A:

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: Let A and B be events with P(A) = 0.8; P(B) = 0.4, and P(B|A) = 0.2. Find P(A and B). O 0.16 O 0.25…

A:

Q: U and Vare mutually exclusive events. P(U) = 0.21; P(V) = 0.6. Find: a. P(U and V) = b. P(UIV) = c.…

A: According to the given information, We know that, U and V are mutually exclusive events. P(U)=0.21…

Q: Events A and B are such that P(A)=0.70, P(B)=0.40, and P(AUB)=0.90. Find P(B| A).

A:

Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?