Consider the following Venn diagram (ANBNC)U(ANBNC) (ANBNC) В (An B)UC (AUBUC) (AUBUC)n(AUBUC) (ANBNC) Which of the alternatives represents the event composed of the sample points contained in the green areas? (ĀUBUC) (AU B)NC (AU B) NC (An B) UC

Q: A,B,C,D are events : P(A)= .85, P(B).70, P(C)=.45 P(D)=.10. Which of these events are a) most likely…

A: Introduction: An event with the highest probability of occurrence is the most likely, and most…

Q: A and B events are discrete events, P (ANB) =Ø, A event is 20%. If the probability of occurrence of…

A: Given that: P(A)=20%=0.20, P(A∩B)=0,  P(A ∪ B)=50%=0.50.We use the union…

Q: III) A sample space S consists of five simple events with these probabilities: P(E₁) = P(E₂) = 0.15,…

A: As per the Bartelby guidelines only one question with three sub-parts can be answered. Kindly…

Q: 7. If A and B are independent events, then P(A and B)) equals    a. P(A) + P(B|A). b. P(A) ( P(B).…

A: GivenA and B are independent events. Any two events A, B are independent events if occurrence of one…

Q: FA and Bare mutually exclusilve events then,

A: If A and B are mutually exclusive then:

Q: Let A, B, C, D be events on the sample space . a) Let P(A) = and P(B) = . Can A, B be disjoint?…

A: Let A, B, C, and D be events on the sample space Ω.

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: In the experiment of tossing two fair coins, let the random event be two 'Tail' events, and the…

A:

Q: 2) Suppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. Calculate the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: The probabilities of events E, F, and EnF are given below. Find (a) P(EIF), (b) P(FIE), (c) P…

A:

Q: Let A and B be events with P(AUB) = 3/4, P(A ́) = 2/3 and P(A ∩ B) = 1/4, find a) P(A) b) P(B) c)…

A: To find a) P(A) b) P(B) c) P(A ∩ B ́)

Q: Are the events male cheated and female right independent? Show the computations needed to justify…

A:

Q: Find the probabilities A) P (B) B) P (B/A) C) Are events A and B independent?

A: A) From the Venn diagram n(S)=5+4+10+6=25And n(B)=4+10=14So, P(B)=n(B)n(S)=1425

Q: Consider two events with P(A)=.4, P(B|A)=.5 and P(A or B)=.7 a) find P(A and B)= b) find P(B)= c)…

A: The provided information are:…

Q: ) Let A and B be two events such that P(A)=0.9, P(B)-0.5, and P (A U B) =0.6. Find: a) P(AnB) b)…

A:

Q: For 1-3 using a spinner like the one shown, find P(A or B). 1) A= an even number; B = a number <3 2)…

A: As per the guidelines we will help you with 3 sub questions. If you need help with any other sub…

Q: Let's define two events A and B where P(A)=0.8 and P(B)=0.4. If P(A ∪ B)=1, what is P(Ac ∪ Bc)? 0.7…

A:

Q: A and B are independent events, if P(A)=-,P(B)=0.4, then P(4 UB) is: a) 0.7 b) 0.9 c) 0.5 d) 0.4 e)…

A:

Q: Suppose that E, F, and G are events with P(E) E and G are independent, and P(F|G) 13 = 16 = 29 100 "…

A: Step 1:We will apply the inclusion and exclusion principle to findP(E∪F∪G), which for three events…

Q: Given two events A and B , state whether each of the following can be possible or not  a) P(A) P(A)…

A: The union of two events is the occurrence of either of them or at least one of them. The…

Q: We have two events, A and B. P(A) = 1/2 and P(B) = 1/3. Hint: Draw Venn diagrams to help you think…

A:

Q: If A and 8 are independent events and P(B) = and P(AB) = then P(A) is: P(AB) = P(A) P(B) P(B) = 1 11…

A: Given that A and B are independent events such that  P(B)=3/4 P(A∩B)=1/2 We have to find P(A)

Q: 6 Given P(A)=and P(B)= a. If P(AUB) = determine whether A and B are mutually exclusive or…

A: It is given that, P(A)=3/4 P(B)=2/3

Q: If A and B are two independent events in a sample space S, find weather the following statement is…

A: GivenA and B are independent then (Ac , Bc) and (A,Bc)  also independent

Q: In a multiple-choice exam, you have an unlimited supply of questions, in which a correct answer…

A: Given: Marks gained for correct answer = 4 Marks lost for incorrect answer = 1 Let X be the marks…

Q: The potential outcomes of an experiment consist of the following triples: (a, a, a) (b, b, b) (c,…

A: We have to find given probability.

Q: A and B are mutually exclusive events with P(A) = 0.47, P(B) = 0.36 Find P(A and B) abd P(A Or…

A: Answer: From the given data, A and B are mutually exclusive events P(A) = 0.47 P(B) = 0.36

Q: For two events ,A and B,P(A)=0.4, P(B)=0.2 and ,p(A|B)=0.6 Find a)p(A ∩B) b)p(B|A) c)p(B,|A)

A:

Q: f A and B are events with P(A)=0.6, P(AorB)=0.98, P(AandB)=0.02, findP(B)

A: It is given that P(A)=0.6, P(A or B)=0.98 and P(A and B) =0.02.

Q: A fair coin is tossed 3 times in a row. A; at least 2 heads (t), B; Let the events that show the…

A: From the given information the sample space of the experiment will be, {(yyy), (ttt), (tty), (tyt),…

Q: a)Suppose events E and F are mutually exclusive with P(E)= 0.15 and P(F)= 0.75. (i) What is the…

A: We have given that  P(E)= 0.15 and P(F)= 0.75. IF A and B are mutually exclusive.  P ( A U B ) = 0…

Q: If S is a sample space, and E and F are events with P(E)= 0.50, P(F)=0.40 and P(E n F)=30. 1.) What…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Question 1. Suppose A and B are events with P(A) = ½, P(B) and 113 P(A or B) = a) Are A and B…

A: Given that  P(A) = 1/3 , P(B) = 1/4 , P(A or B) = 1/2

Q: Two machines in a factory (A and B), produce the following proportions: If commodity of metal…

A: A factory has two machines A and B.  Machine A produced 60% of the metal production. Machine B…

Q: Let A and B be the two events with MA) =065. P(B)=045 and PLA B) = 025 a. Draw a Ven diagram to…

A: Given : P(A) = 0.65 P(B) = 0.45 P(A∩B) = 0.25

Q: Define A, B, and C to be three events and assume that: P(A) = 0.30, P(B) = 0.20, P(C) = 0.90 P(ANB)…

A: Given that P(A)=0.30, P(B)=0.20, P(C)=0.90

Q: Given two events, A and B, with P(A) = 4 and P(B)- .35, find P(An B) if you also know that.. (a) A…

A: Two events are said to mutually exclusive when they cannot occur simultaneously where as they are…

Q: If A and B are events in the same sample space, then how will you get the probability of A or B…

A: If A and B are events in the same sample space, the probability of A or B occurring is…

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.3​, and ​P(A∩​B)=0.25​, find​ P(B). Assume that A and B are events.…

A: The probability of P(B) is obtained below as follows:From the information, given that

Q: A:  {herding dogs} B:  {Dogs that jump 20 inches} C:  {Dogs that run with no faults}   (a) Write…

A: