Suppose that vehicles taking a particular freeway exit can turn right (R), turn left (L), or go straight (S). Consider observir direction for each of three successive vehicles. A. List all the outcomes in the event C that exactly two vehicles take different directions. B. List all the outcomes in the event D that exactly two vehicles go in the same direction. C. Interpret the event CuD and list its outcomes.

Q: If S = {1, 2, 3, 4, 5 }, A={2 A} B={1, 3, 5 } C= {2, 5}. The sets corresponding to event (A' or C)…

A:

Q: First define any three events A,B,C in your daily life problems and prove addition law of…

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister…

Q: 3) is .6, the probability that B occurs is .3, and the probability that either A or B occurs is .5.…

A: Given P(Ac)=0.60, P(B)=0.30, P(A or B)=0.50

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: Define pairwise independent events.

A: Pair wise independent event means that each event is independent of every other possible combination…

Q: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: Two containers, labeled A and B, are filled with red and blue marbles according to the quantities…

A: Given datacontainer       A         BRed                80       40Blue               20       60

Q: Suppose that in a year of 365 days, it rains on 34 days. There is lightning on 19 days. There is…

A: Given that ; N = 365 days Rains = 34 days  Lighting = 19 days  Both = 12 days By using the basic…

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: If two events A and B are not disjoint, then the probability of their union

A:

Q: Of the 50 automobiles in a used car lot, 10 are silver. If 5 automobiles are selected to be sold at…

A: 20) According to the given information,Total number of automobiles, N= 50Number of automobiles are…

Q: Given that a white chip is drawn, what is the probability that the coin came up tails.

A: A biased coin, twice as likely to come up as tails, is tossed once. If it shows heads a chip is…

Q: As reported by the Chicago Title Insurance company in The Guarantor, the probability is ‘p’ that a…

A: The probability of home buyer purchase resale home is p.

Q: If A, B are mutually exclusive events, then the probability that A does NOT occur given that B…

A: if A and B are mutually exclusive events then A∩B=∅ i.e. P( A∩B)=0 let A¯ is complement of A. now,…

Q: If the outcome of event A is not affected by event B, then events A and B are said to be mutually…

A: Independence condition: If A and B are independent events, then P(A and B)=P(A)*P(B). That is,…

Q: If A and B are independent events, prove that the following pairs of events are independent: Ac and…

A:

Q: If only one of two or more events can occur they are considered  non-mutually exclusive. Select…

A: We have given that If only one of two or more events can occur they are considered  non-mutually…

Q: Consider two events A and B. Use Venn diagram to show that (AU B) \ A = B\ A

A: For any two events A and B. Using venn diagram,  we need to show that: (AUB)\B = B\A

Q: Show Venn diagram depicting two events A and B that are not disjoint. Shade in the portion of this…

A: A and B'. This also means that A is only happening.Explanation:Disjoint events means they have no…

Q: we have 100 students in the Institute of Computing, Kohat University of Science and Technology. Out…

A: Probability is defined as the sum of favorable ways of an events divided by the total number of…

Q: Two computer manufacturers A and B are attempting to sell computer systems to two banks 1 and 2.…

A: 1) The objective is to maximize the expected number of computer systems sold. Let's analyze the…

Q: Suppose a dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and the…

A: Ans#-Givan, A dog has a litter of 13 puppies. Of those 13 puppies, 5 are brown, 4 are white, and…

Q: 2. Two events A and B are mutually exclusive with probability (A)=0.5 and probability (B)=0.4 Find…

A: Given: A and B are mutually exclusive events.

Q: 2. There are two multiple-choice questions on a quiz, one with four answer choices and one with six…

A: Step 1: Define the events.E1 = choosing the correct option for the first question.E2 = choosing the…

Q: 4) Event A has probability 0.3. Event B has probability 0.5. If A and B are disjoint, then the…

A: Disjoint events: For disjoint events, there is no element in common. Two events A and B are said to…

Q: One coin is tossed twice. Case A is the first shot coming in tails, case B is the second shot coming…

A: It was stated that a coin is tossed twice. Case A is the first shot coming in tails. case B is the…

Q: If A and B are independent events. Then A and BC are independent.

A:

Q: I. The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.3 , what is P(A or B)? II.…

A: 1)i)Events A and B are mutually exclusiveP(A)=0.1P(B)=0.3

Q: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…

A: A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and…

Q: If two events are independent then their compliments are also independent. true False

A: Two events are said to be independent if occurrence of one event does not affect the occurrence of…