The following table shows the results of a survey of students taken at MPC (hypothetical).   prefers face to face courses prefers online courses full time students 259 272 part time students 230 280 Suppose that you pick a student at random from this group of students.  Let A be the event that the student that you pick prefers the face to face classes, and let B be the event that the student that you pick is a full time student. Find P(Ac∪B)P(Ac∪B).  Enter your answer as a decimal, rounded to three decimal places.

Q: Suppose that A and B are mutually exclusive events. a. Use the special addition rule to express P(A…

A: a. Events A and B are mutually exclusive. Special addition rule is used. Special Addition Rule If…

Q: Let A be the event that your hole cards are AK, and let B be the event that your hole cards are both…

A: P(A) =P(event of holding ace and king) = 452×452=162704 P(B) = P(event of holding are red ) = 2352

Q: Suppose we roll a red die and a green die. Let R be the event that the number of dots showing on the…

A:

Q: Two marbles are picked at random , one at a time and without replacement , from a box containing 7…

A: Two marbles are picked at random , one at a time and without replacement , from a box containing 7…

Q: Let A and B be events with P(A) =0.7, P(B) = 0.44, and P(B|4) = 0.8. Find P(A and B). P(4 and B) =

A:

Q: Let A be the event that "the number of customers will be less than 4" and B be the event that "the…

A: Given Data :

Q: James rolls a six-sided die and observes its value, then Jim draws a card from a standard deck of…

A: Given: A is an event that value of die is 2 B is an event that card is black

Q: Suppose that a certain college class contains 60 students. Of these, 31 are sophomores, 35 are…

A: (a) The event S is defined as the the student is a sophomore and event M is defined as the student…

Q: how that if A1, A2, and A3 are independent events, then P(A1|A2 and A3)

A: Given that A1, A2, and A3 are independent events.

Q: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

A:

Q: (c) Let A be the event that the sum of the two numbers tossed is 4 and B be the event that the sum…

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Q: Q2. A bag contains 3 red and 4 black balls and another bag has 4 red, 2 black and 3 green balls. The…

A: Given, Bag A: 3R, 4BBag B: 4R, 2B and 3G The probability of selecting Bag A is equal to the…

Q: Let p denote the probability of a 6. Show that the game favors Bob, for all p,0 < p < 1.

A: Given,  p denote the probability of a 6         To find, Show that the game favors Bob, for all p,0…

Q: A computer repair shop has estimated the probability that a computer sent to the shop has a bad…

A:

Q: In an audio and video device repair shop, let A be the event in which the component being repaired…

A:

Q: A and B are two events such that P(A) = 0.3, P(B) = 0.4, and P(A and B) = 0.1.  Find P(Bc). Select…

A: Given P(A) = 0.3, P(B) = 0.4, P(A and B) = 0.1

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

A:

Q: P(B1)=4,P(B2)=6 and that the bids are independent

A: Given that, Let B1 be the event that the first bid is successful and B2 did the second bid…

Q: Suppose that a certain college class contains 39 students. Of these, 26 are sophomores, 21 are…

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

Q: A bowl contains 5 white balls, 10 red balls, and 15 blue balls. You are to randomly select two balls…

A: Given problem Given that   A bowl contains 5 white balls, 10 red balls and 15 blue balls . You are…

Q: A box is filled with several party favors. It contains 17 hats, 12 noisemakers, ten finger traps,…

A: It is given that H denotes the event of getting a hat.

Q: Let A and B be events with P(4) =0.3, P(B) =0.73, and P(B 4) = 0.9. Find P(A and B). P(4 and B) =

A: Given data:

Q: Suppose that A, B and C are three independent events with P(A)=0.20 P(A interception B)= 0.08 and…

A:

Q: Let  A and B be events with  P(A)=, 0.2 P(B)=, 0.9 and P(B|A)=0.5   Find  P(A and B)=

A: From the given information,P(A) = 0.2,P(B) = 0.9And P(B|A) = 0.5.

Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of…

A: Introduction: The outcome Blue 2 will be a possible outcome whenever the possible outcomes of an…

Q: In a standard 52-card deck, there are 26 red cards. Thirteen of the red cards are hearts and…

A: From the given information, Total deck of cards = 52,  Red cards = 26 Total red hearts cards =13…

Q: Let A and B be two events such that P(A)=0.5, and the probability that neither occurs is 0.3. Find…

A:

Q: PrtSc FIZ Insert Delete H + 5. Astandard (fair, well-shuffled) deck of playing cards is cut, the aut…

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts.…

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A:

Q: he following table shows the results of a survey of students taken at MPC (hypothetical).   prefers…

A: Given :   prefers face to face courses prefers online courses full time students 205 242 part…

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

Q: Two fair dice are tossed, one red and one green. Let A be the event that the sum of the two dice is…

A: The theory of probability has its origin in the seventeenth century.The king of France who…

Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A: Given P(A) = 0.6 P(B) = 0.4 P(A ∩ B) = 0.5

Q: A card is drawn from a pack of 52 cards so that each card is equally to be selected. Which of the…

A: Given A card is drawn from a pack of 52 cards so that each card is equally to be selected.

Q: Show  that :If A and B are independent, it follows that the following events are also independent:…

A:

Q: A college finds that 10% of students have taken a distance learning class and that 40% of students…

A: Here two events are given named as Distance learning class and Part time students. Let define this…

Q: Decide whether the following pairs of events are dependent or independent C is the event that it…

A: Given that  C= the event that it rains more than 10 days in Chicago next June D= the event that it…

Q: Suppose that A and B are two events for which P(A)=0.31, P(B)=0.68, and P(AandB)=0.31 Find P(A|B)

A: According to the given information, we have There are two events A and B i.e. P(A) = 0.31 P(B) =…

Q: Suppose that in a given town, 60% of the population is under age 40 (event A). It is found that the…

A: Supports inoculation Doesn’t support inoculation Total Under 40 0.72 * 0.60 = 0.432…

Q: Q6. Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4…

A: The given data: Box 1: 2 red balls and 4 white balls Box 2: 4 red balls and 2 white balls Box 3: 3…

Q: Suppose that P(A)=0.25 and P(B)= 0.4. If events A and B are mutually exclusive, find: a. P(ANB) b.…

A: Two events are said to be mutually exclusive or disjoint if both events cannot occur at the same…

Q: Suppose there are 75% females and 25% males at UWI (students). This translates to a 75% chance is…

A: An independent event is an event that has no connection to another's event's chances of happening(or…

Q: d marbles, 5 white marbles, and 10 blue marbles. You draw 3 marbles out at random, without…

A: Total number of red marbles= 7 Total number of white marbles= 5 Total number of blue marbles= 10…

Q: Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of…

A: Intersection of events:The probability that events A and B both occur is the probability of the…

Q: The two-way table shows the classification of students in a mathematics class by gender and dominant…

A: Dependent events influence the probability of other events or their probability of occurring is…

Q: Let A be the event that the selected person will vote for Republican party; B be the event that the…

A: From the given information, there are totally 1000 voters are considered in which 280 are males who…

Q: Consider randomly selecting a student at a large university, and let A be the event that the…

A:

Q: The table displays the number and type of tickets bought for a play that was performed in both the…

A: Let A represents 'a child tickets is bought for a play' and B represents 'the play is performed in…

Q: Show that the multiplication law P(AnB) P(A/B) P(B), established for two events, may be generalized…

A: We know that, from the conditional probability- P (A⋂B) = P (A/B) P(B) Let, B and C be a single set.…