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). 12/30 13/30 14/30 O 11/30

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)

A:

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: A sample space contains 7 sample points and events AA and BB as seen in the Venn diagram. Let…

A: (a) From the given information, Let P (1) = P(2) = P(3) = P(7) = 0.05, P (4) = P(5) = 0.1, and P (6)…

Q: %3D Let B be an event in a sample space S, then P(B|S) F. LL

A: Given that B is an event in the sample space S. We have to say whether P(B|S) =1 is true or false.

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

A:

Q: f A is an event in the finite sample space, then prove that P (A) equals the sum of the…

A:

Q: Let A and B be two Independent events in a sample space S with P(A)= - and P (B')- Find P (A n B)…

A:

Q: Let E and F be events of a sample space such that P(E)=0.46, P(F)=0.35 and P(EnF)=0.10. Find the…

A: We have to answer question based on conditional probability.

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: Let E and F be events of a sample space such that P(E)=0.40, P(F)=0.25 and P(EnF)=0.25. Find the…

A: Given that PE=0.40PF=0.25PE∩F=0.25 To determine: PF|E PE∩F' PE|F'

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

A:

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…

A:

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 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: It states that if a sample space S has N mutually exclusive events B, n=1,2,....,N, such that, B,…

A:

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]…

A:

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: If the events B1, B2, ..., Bk constitute a partition of the sample space S such that P(B;) + 0 for i…

A:

Q: Consider a probability experiment with the sample space S = {1,2, 3} Select all but only the events…

A: We know that, Sample space : The total number of possible outcomes of a random experiment is known…

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…

A: Given The data is as follows: n(S)=60 n(A)=30 n(B)=18 n(C)=36

Q: Theorem 3-17. For any three events A, B and C defined on the sample space S such that BcC and P (A)…

A:

Q: The population of a particular country consists of three ethnic groups. Each individual belongs to…

A:

Q: Let A and B be events in a sample space S such that S = A ∪ B. Suppose that P(A) = 0.5, P(B) = 0.7,…

A: From the given information. a)PA∪B=PA+PB-PA∩B=0.5+0.7-0.25=0.95

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}…

A:

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: From the provided information, P (A) = 0.5, P (B) = 0.7 and P (A U B) = 0.9 The events A and B will…

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

A: A = {1,2} B = {2,3,4} A∩B = {2} [elements in A and b] A∩Bc = {1} [ Belongs to A but does not belongs…

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 E and F be events of a sample space such that P(E)=0.40, P(F)=0.25 and P(EnF)=0.25. Find the…

A:

Q: 1.3 Let A and B be two events of the same sample space. If A and B are independent and P(A) = 0.5…

A: Given,P(A)=0.5P(A∩B)=0.1and A , B are independent events

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

A:

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 S be a sample space and E and F are independent events associated with S. Suppose that Pr(E)=…

A: Solution

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, 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: It is given that nS=30,nA=15,nB=9,nC=13 and the union of A and B is C.

Q: Let A and B be events in a sample space S such that S = A ∪ B. Suppose that P(A) = 0.4, P(B) = 0.8,…

A: a) Using the union formula we get:P(A∪B)=P(A)+P(B)-P(A∩B)=0.4+0.8-0.2=1

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…

A:

Q: Example 2.3.23 For any three events A, B, and C defined on the sample space S, such that BCC and…

A: Given: Any three events defined on sample space S are A, B and C. B⊂C and PA>0. To prove:…

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(B nC)>0…

A:

Q: Let A. B and C be events from a common sample space such that: P(A) = 0.72, P(B) = 0.56, P(C) =…

A:

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,…

A:

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…

A:

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 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,