Let A and B be events in a sample space S such that P(A) = 0.38, P(B) = 0.42 and P(An B) = 0.20. Find P(A | B). O 0.2500 O 0.4762 O 0.9048 O 0.0238 O 0.5263
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A: Given,P(A)=0.5P(B)=0.7P(A∪B)=0.9
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A: From the provided information, The sample space of the experiment S = {2, 3, 4, 5, 6, 7, 8, 9, 10,…
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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
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A: The required answer is : P(P¯ ∩Q¯∩R¯ ) = 0.39
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A: From the given information. a)PA∪B=PA+PB-PA∩B=0.5+0.7-0.25=0.95
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A: Given information: Sample space: S = {HH, HT, TH, TT} of equally likely simple events…
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Q: Assume that A, B, and C are subsets of a sample space S with Pr(A) = 0.7, Pr(B) = 0.5, Pr(C) = 0.2.
A: note -Hi! Thank you for the question, As per the honor code, we are allowed to answer three…
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A: Solution
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Q: Events A₁ and A2 are mutually exclusive and form a complete partition of a sample space S with P…
A: Given that A1 and A2 are mutually exclusive events.P(A1)=0.48P(A2)= 1-P (A1) = 1-0.48 = 0.52P(E|A1)…
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- A fair coin is tossed twice. Consider the sample space S= {HH, HT, TH, TT} of equally likely simple events. Define the events as shown below. For each pair of events, discuss whether they are independent and whether they are mutually exclusive. Complete parts (A) and (B). E, = a head on the first toss E, = a tail on the first toss Eg = a tail on the second toss E4 = a head on the second toss ... (A) Ej and E4 The events E, and E4 are andA probability experiment is conducted in which the sample space of the experiment is S={2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, event F={5, 6, 7, 8, 9, 10}, and event G={9, 10, 11, 12}. Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. F or G= (Use a comma to separate answers as needed.) B. F or G={ }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, and P(A ∩ B) = 0.2. Find each of the following. (a) P(A ∪ B) (b) P(Ac ∪ Bc )
- Assume that E, F, and G are events in a sample space S. Assume further that Pr[E]=0.55, Pr[E]=0.55, Pr[F]=0.6, Pr[F]=0.6, Pr[G]=0.65, Pr[G]=0.65, Pr[E∩F]=0.35, Pr[E∩F]=0.35, Pr[E∩G]=0.4, Pr[E∩G]=0.4, Pr[F∩G]=0.35, Pr[F∩G]=0.35. Find the following probabilities: (1) Pr[E∪F′]= (2) Pr[F′∩G′]= (3) Pr[E′∩G]=A probability experiment is conducted in which the sample space of the experiment is S={6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17), event F = {10, 11, 12, 13, 14, 15), and event G = {14, 15, 16, 17). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For G= (Use a comma to separate answers as needed.) OB. For G = {})Let E and F be events defined on the same sample space. Find Pr[F] if it is known that Pr[E] = Pr[EU F] = } and Pr[En F] = A. C. D 8. E. Cannot be determined. O O OO OC
- A probability experiment is conducted in which the sample space of the experiment is S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, event F = {1, 2, 3, 4, 5, 6), and event G = {5, 6, 7, 8). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For G= (Use a comma to separate answers as needed.) OB. For G = {} (...) Find P(F or G) by counting the number of outcomes in F or G. P(F or G) = (Type an integer or a decimal rounded to three decimal places as needed.) Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice. (Type the terms of your expression in the same order as they appear in the original expression. Round to three decimal places as needed.)…A probability experiment is conducted in which the sample space of the experiment is S = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16), event F = {9, 10, 11, 12, 13, 14), and event G = (13, 14, 15, 16). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in F or G. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For G={} (Use a comma to separate answers as needed.) B. For G = {}A probability experiment is conducted in which the sample space of the experiment is S= (6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17), event F = (10, 11, 12, 13, 14, 15), and event G = (14, 15, 16, 17). Assume that each outcome is equally likely. List the outcomes in F or G. Find P(F or G) by counting the number of outcomes in F or G. Determine P(F or G) using the general addition rule. List the outcomes in For G. Select the correct choice below and, if necessary, fillin the answer box to complete your choice. O A. For G= {10,11,12,13,14,15,16,17)} (Use a comma to separate answers as needed.) O B. For G={} Find P(F or G) by counting the number of outcomes in F or G. P(F or G) =D (Type an integer or a decimal rounded to three decimal places as needed.) Determine P(F or G) using the general addition rule. Select the correct choice below and fill in any answer boxes within your choice. (Type the terms of your expression in the same order as they appear in the original expression. Round to…
