Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue, and 2 are green. 2 of the blue boxes have a prize , and 1 of the green boxes has a prize. Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the event that the box contains a prize. Which of the following statements are true?

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: 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: 5. Suppose that A, B, and C are mutually independent events and that P (A) = 0.5, P (B) = 0.8, and P…

A: Solution: Given data A, B, and C are mutually independent events. P (A) = 0.5, P (B) = 0.8, and P…

Q: Given P(A) = 0.3 and P(B) = 0.4; if A and B are mutually exclusive events, compute P(A or B)

A:

Q: If the P(A) = 0.43, P( A or B) = 0.87, given that events A and B are mutually exclusive events then…

A: Given, P(A) = 0.43 P( A or B) = 0.87 Since events, A and B are mutually exclusive events P(A and B)…

Q: Suppose that a finite class contains 50% freshmen, 20% sophomores, 10% juniors, and the rest…

A: Given: P (F) = 0.50 P (S) = 0.20 P (J) = 0.10 P (RS) = 1 - 0.50 - 0.20 - 0.10           = 0.20 P (P…

Q: In how many different order could the police department arrange six suspects in a police lineup if…

A: In this question we will use basic of permutations and combinations and concept of probability and…

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 and B are events such that: P(A) = —‚P(B) = 10 and P(A or B) = Use rule of sum and…

A: Given Information: p(A)=310p(B)=12p(A or B)=25

Q: b) Let A be the event that a family has children of both sexes and B be the event that a family has…

A: According to given conditions: A= Event representing that a family has children of both sexes. B=…

Q: If A denotes some event, what does A denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

A:

Q: Given that A and B are mutually exclusive event, find P(A or B) for the following. P(A) =0.41 and…

A:

Q: Are the events of rooting for the away team and wearing blue independent? Are they mutually…

A: Let A be the event that a fan is rooting for the away team.Let B be the event that a fan is wearing…

Q: In a small village of Nanakuli about 80% of the residents are of Hawaiian ancestry. Let n=1,2,3...…

A: Given In a small village of Nanakuli about 80% of the residents are of Hawaiian ancestry. Let…

Q: if A and B are not dis joint than event, p(A Or B) LP (A) + PlB) True False

A: We have to find true or false.

Q: If A and B are not mutually exclusive events and P(A) = 0.60 and P(B) = 0.80, then find P(AUB)

A: Given A and B are not mutually exclusive events And  P(A) = 0.60 and P(B) = 0.80

Q: iven that P(A) = 2/3 , P(B) = 1⁄2 , P(A ∩ B) = 1/3 and P(A ∪  B) = 5/6, state whether each of the…

A:

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

A: The bag contains,  red marbles=4 green marbles=4 white marbles=5 purple marbles=2 Now, She grab all…

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

A:

Q: Let A and B be events so that p(B|A) = .8, p(B|Ã) = .4, and p(B) = .62. What is p(A)?

A:

Q: In the entire group of first-year statistics students, half own a calculator (h), and the rest don’t…

A: Given: Number of students = 4

Q: Shaquan flipped a coin and rolled a fair six sided number cube, numbered 1 -6. If he wanted to know…

A: There is 50% chance of getting a tail  P( Tail )  =  1/2    There are only two numbers out of the…

Q: In a basketball arena, • 70% of the fans are rooting for the home team. • 25% of the fans are…

A:

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: 3) Assume two boxes are present: The first box contains 4R(red), 3W(white) balls the second 5R,2W.…

A:

Q: A man draws a ball from an urn containing 4 white and 2 red balls. if the ball is white, he does not…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: If A and B are independent events and that 0.3 = (PA and 0.7 = (PAUB), then .P(B) = 0.571 true Error

A: GivenA and B are independent events P(A)=0.3P(A∪B)=0.7

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

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: Amanda has 3 office assistants. If A is the event that at least 2 of them are men and B is the event…

A: Given data: The total number of assistants are n=3. The expression for the sample space of selecting…

Q: If the animal is in the woods on one observation, then it is three times as likely to be in the…

A:

Q: If A and B are events such that ​P(A)=0.2 and ​P(A∪​B)=0.4​, find​ P(B) when ​(a) A and B are…

A:

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

A: The bag contains 3 red marbles, 4 green marbles, 5 white marbles and 3 purple marbles. The total…

Q: If A and B are events with P(A)=0.7, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Solution-: Given: P(A)=0.7,P(A OR B)=0.89, P(A AND B)=0.01  We find P(B)=?

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: (a) Are the events "male" and "0 activities" independent? V because are (b) Are the events "female"…

A:

Q: If A denotes some event, what does Ā denote? If P(A) = 0.996, what is the value of P(Ā)? ..... What…

A:

Q: Aeovem 041 AC iS Ahe complemend of an event A, then fLA)= 1- PCA).

A: It a lemma that P(A')= 1-P(A). P(A') is compliment probability of A.

Q: 2. Let A be the event that you read a book before bed, let B be the event that you will check…

A: Given, The events  A = It is the event of read a book before bed B = It is the event that you will…

Q: If P (Event A)=0.2 and P(Event B)=0.3, and the two events are disjoint, then P (Event A and Event B)…

A: Disjoint events : if two events A and B are disjointevents then the two events can not occure at the…

Q: Let A and B be events so that p(B|A) = .8, p(BJĀ) = 4, and p(B) = .62. What is p(A)?

A:

Q: Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B|A) = 0.2. Find P(A and B).

A: If A and B are independent then P(A and B)= P(A n B) = P(A)*P(B) If A and B are not independent then…

Q: Two coins are tossed. If A is the event "two heads" and B is the event “two tails " ar A and B…

A: S={HH,HT,TH,TT} A={HH} B={TT}

Q: Suppose that you receive 10000 laptops, but 20% are defective. You pick two laptops at random, one…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Let A and B be events with P(A) = 0.5, P(B)=0.95, and P(B|A) = 0.1. Find P (A and B). P(A and B) =

A: Given that, P(A) = 0.5P(B) = 0.95P(B|A) = 0.1

Q: n a class of students 6 students have only a brother, 14 students only have a sister, and 7 students…

A: Given, In a class of students 6 students have only a brother, 14 students only have a sister, and 7…

Q: If A and B are independent events and that 0.3= (PA and 0.7 = (PAUB), then .P(B) = 0.571 true Error

A:

Q: Find the probability of "The jet ski is for two persons but does not have turbo packs."

A: Given that Number of two person skis = 12 Number of turbo packs = 14 Number of turbo packs and two…