Let A, B, and C be three events of the sample space S such that n(S)=30, n(A)=15, n(B)=9, n(C)=13 and the union of A and B is C. Find P(A and B). O 13/30 O 11/30 O 14/30 12/30

Q: Theorem 3-6. If A and B are any two events (subsets of sample space S) and are not disjoint, then…

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Q: If E₁, E₂ are two events of a sample space S such that E, E₂, then P(E₂-E) 19 P(E)- P(E)

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Q: Let E and F be events in a sample space S such that P(E)=0.23, P(F)=0.38 and P(EUF)=0.49 . Find the…

A: It is given that PE=0.23,PF=0.38,PE∪F=0.49 Therefore it follows: PE∩F=PE+PF-PE∪F=0.23+0.38-0.49=0.12…

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 Are A…

A: We will use the union formula: P(A∪B)=0.9 P(A)+P(B)-P(A∩B)=0.9 0.5+0.7-P(A∩B)=0.9 P(A∩B)=0.5+0.7-0.9…

Q: Let A, B and C be events in a sample space S such that S= AUB. Suppose that P(A) = 0.4, P(B) = 0.5,…

A: Given that P(A)=0.4,P(B)=0.5 and P(A∩B)=0.4 Then the aim is to find P(Ac∪Bc)

Q: Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) =…

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Q: Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36…

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Q: If S is the sample space of a random experiment and E is any event, the axioms of probability are:…

A: We state the axioms.

Q: Let A, B, and C be three events of the sample space S such that n(S)=35, n(A)=14, n(B)=10, n(C)=D4…

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Q: Let A and B are two event of a sample space S and let P(A) = 0.5. P(B) = 0.7 and P(AUB) = 0.9 %3D…

A: As per Bartleby guideline for more than three subparts only first three are to be answered please…

Q: An experiment has a sample space with 10 equally likely elements S = {a, %3D ...., a10}. Three…

A: As per bartleby guidelines only first three subparts are to be solved. Please upload other parts…

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, PĀNB) = 0.35,P(ĒNA)= 0.30o What…

A: According to the provided information, we have Let A and B be the two events of a sample S.

Q: 1.1 Let A and B be two events of the same sample space. If P(A) – 0.2, P(B) – 0.3 and P(AN B) – 0.1,…

A: As per our guidelines we are supposed to answer only one question per post so I am solving first…

Q: about events A and B of a sample space S, but assume that Pr[A]=0.35 and Pr[B]=0.45. Find Pr[A∪B]…

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Q: Q18: If A and B are independent events of a random experiment such that P(AB)=, and P(AB)=then…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.It…

Q: Let S be a sample space. Suppose A and B are two independent events on S. Show that the events A°…

A:

Q: 1.1 Let A and B be two events of the same sample space. If P(A) = 0.2, P(B) = 0.3 and P(An B) = 0.1,…

A: Given Let A and B be two events of the same sample space.

Q: 1. Suppose that A and B are two mutually exclusive events in a sample space such that P(A) = 1 –…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: 1. Suppose A and B are events in a sample space 2 and that P(A) = , P(B) = ; and P(AN B) = Calculate…

A: Given - let A  and B are events in a sample space . P(A) = 25    P(B) = 13 and  P ( A ∩ B) = 110 To…

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 Find…

A: We will require De-Morgan's law:  P(A' ∩ B') =P(A∪B)'

Q: Let S = {b, e, j, r, s, y} be a sample space of an experiment and let E = {b, e} and F = {b, r, y}…

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Q: The A event is defined on a sample space S. Which of the following is always true? O a. A'=A O b.…

A: given data  A is event of sample space  S. we have to identify always true statement.

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 Find…

A: We will use the union formula:   P(A∪B)=0.9 P(A)+P(B)-P(A∩B)=0.9 0.5+0.7-P(A∩B)=0.9…

Q: Let A and B be independent events defined on the same sample space such that P(A U B)= 0.6 and P(B)…

A: Given ,P(AUB)=0.6P(B)=0.2and A, B  are independent events.

Q: Theorem 3-6. If A and B are any two events (subsets of sample space S) and are not disjoint, then…

A:

Q: Events A1, A2 and Az form a partiton of the sample space S with probabilities P(A) = 0.2, P(A2) =…

A: The given probabilities are, The probability of event E is,

Q: Let A1, A2 and A3 be mutually exclusive and exhaustive events of some sample space S, where P(A1) =…

A: In this question, it has been given that A1, A2 and A3 are mutually exclusive and exhaustive events.…

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

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Q: If A and B are events from a sample space such that Pr(A) = 0.6, Pr(B) = 0.3 and Pr(A U B) = 0.7,…

A: GivenP(A)=0.6P(B)=0.3P(A∪B)=0.7

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, P(ANB) = 0.35,P(BNA) = 0.30…

A: Then we find P(B)

Q: Let A and B be events in a sample space S such that P(A)= .4, P(B)= .5, and P(ANB) = .3. Find:…

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Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 .…

A: For any two events A and B, it is known that P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: Let A and B be two events in the sample space ( S ) , with P ( A ) = 0.72 , P ( B ) = 0.68 and , P (…

A: we have given that  A and B two events  with P ( A ) = 0.72 , P ( B ) = 0.68 and , P ( A U B ) =…

Q: Let A, B, and C be three events of the sample space S such that n(S)=30, n(A)=15, n(B)=9, n(C)=13…

A: According to the given information, we have Total number of elements = 30…

Q: Let A, B, and C be three events of the sample space S such that n(S)=60, n(A)=30, n(B)=18, n(C)=36…

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Q: In a random experiment with a sample space 2, if "A" and "B" are two events such that: P(A) = 0.65…

A:

Q: Suppose E and F are two mutually exclusive events in a sample space S with P(E) 0.38 and P(F) =…

A: Given E and F are two mutually exclusive events in a sample space S with P(E) = 0.38 and P(F) =…

Q: Let A and B be the two events of a sample S such that P(AUB) = 0.90, P(ANB) = 0.35, P(ĒNA) = 0.30…

A: According to the given information, we have Let S be the Sample space A and B be the two events of a…

Q: Let C₁, C₂, C events form a partition of the sample space. Let A, B be events such that P(BnC;) > 0…

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Q: Let C₁, C₂, C events form a partition of the sample space Let A,B be events such that P(B nC)>0…

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Q: Let S = {E1, E2, E3, EA} be the sample space of an experiment and let = {E1, E2}, B = {E2, E3}, and…

A: We want to find union probability of a or b

Q: Let A and B be two events in a sample space S with P (A) = 0.6, P (B) = 0.3 and P (A U B) = 0.7 Find…

A: Since you have posted multiple questions, we have provided answer for 1 question only as per our…

Q: Let A and B be independent events defined on the same sample space such that P(AUB) = 0.6 , and P(B…

A: Let A and B are independent events The known probabilities are,

Q: Let S = {E1,E2, E3} be the sample space of an experiment and let A = {E1}, B = {E2}, and C = {E2,…

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Q: Let E and F be two events of an experiment with sample space S. Suppose P(E) = 0.6, P(F) = 0.4, and…

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Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9. Are…

A: Given, PA=0.5, PB=0.7, PA∪B=0.9 To find : PA∩BPA∩B¯PB∩A¯PA'∩B'

Q: Let 2 = {1,2, 3, 4, 5} be the sample space of a random experiment. Let also the events A = {1,2} and…

A: Solution: From the given information, the sample space is

Q: Let A and B are two event of a sample space S and let P(A) = 0.5, P(B) = 0.7 and P(AUB) = 0.9 Are A…

A: Given, PA=.5PB=.7PA∪B=.9 We have, PA∪B=PA+PB-PA∩B ⇒PA∩B =PA+PB-PA∪B                    =.5+.7-.9…

Q: Let A and B be two independent events of a sample space. If P(A)=pa and P(B)=pb, then the…

A: The probability that at most one of them occurs is,