Suppose that you have 10 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement. = the first card drawn is green G1 G2 = the second card drawn is green a. P(G1 and G2) = b. P(At least 1 green) c. P(G2|G1) = d. Are G1 and G2 independent? O They are independent events O They are dependent events

Q: 2. At a social gathering n individuals wish to play a game. Each individual places their mobile…

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Q: You have three red cards numbred 1,2,3 and two orange cards numbered 1,2. Finding the following…

A: Given information Number of red cards = 3 Number of orange cards = 2

Q: Which of the following values cannot be probabilities? 0, -0.57, 1, 5/3, √2, 3/5, 0.04, 1.51 Select…

A: We have given that,  0, -0.57, 1, 5/3, √2, 3/5, 0.04, 1.51 Then,  We have to check the correct…

Q: a. You are going to choose a number randomly from the set {1, 2, 3, . 23, 24}. What is the…

A: Given that  Set of numbers=S=(1,2,3,_______,23,24) n(S)=24 Number divisible by 4=A=(4,8,12,16,20,24)…

Q: Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue, and 2 are green.…

A: A : The box is blue  B : The box contains a prize. Given, out of 5 boxes 3 are blue , 2 of the blue…

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).

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Q: Two dice are rolled. Each comes up with a number between 1 and 6. Let A be the event that the number…

A: Two dice are rolled.Sample space S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)…

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: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: Hudson has two pairs of black shoes and three pairs of brown shoes. He also has three pairs of red…

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Q: Thomas’ favorite colors are blue and green. He has 1 blue shirt, 1 green shirt, 1 blue hat , 1…

A: Given : Thomas has 1 blue shirt, 1 green shirt, 1 blue hat , 1 green scarf, 1 blue pair of pants and…

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: A deck of cards contains RED cards numbered 1, 2, 3, 4 and BLUE cards numbered 1, 2, 3, 4, 5, 6. Let…

A: Let Red cards are R1,R2,R3,R4 Blue cards are B1,B2,B3,B4,B5,B6 E=the event of drawing an even number…

Q: In a survey, respondents were asked to indicate their favorite brand of cereal. They were only…

A: In a​ survey, respondents were asked to indicate their favorite brand of cereal. They were only…

Q: A box contains 12 red balls, 9 black balls, and 5 white balls. If you pulled four balls in a row and…

A: Given, A box contains 12 red balls, 9 black balls and 5 white balls. => Total = 26 balls 4 balls…

Q: Suppose that we have two attributes, gender and department. We observe the values of both variables…

A: Note: Hey, since multiple sub parts are posted, we will answer first three sub parts according to…

Q: B).  Find P(A ∪ B).  Find P(A | B)

A: It is given that P(A) = 0.2 and P(B) = 0.4. a. The value of P(A ∩ B) is, PA∩B=PA·PB=0.2×0.4=0.08. b.…

Q: Determine if the events involves mutually exclusive or non mutually exclusive events. Then find its…

A: Here total 52 cards in deck Total 26 red cards  Total ace = 4

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

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Q: Suppose you have 8 pairs of socks and 10 shirts in a drawer. Three of the pairs of socks are black…

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Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0 O…

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Q: If A, B, and C are three events, prove that P(ANBOC) >1– P(A)– P(B)– P(C)

A: There are three events A,B and C. So, From De Morgan's law, P(A ∪ B ∪C) = P(A∩B∩C)⇒P(A ∪ B ∪C) = 1 -…

Q: A deck of cards contains RED cards numbered 1, 2, 3, 4 and BLUE cards numbered 1, 2, 3, 4, 5, 6. Let…

A: Let Red cards are R1,R2,R3,R4 Blue cards are B1,B2,B3,B4,B5,B6 E=the event of drawing an even number…

Q: Suppose that you have 9 cards. 4 are green and 5 are yellow. The cards are well shuffled. Suppose…

A: The number of cards is 9. The number of green cards is 4.

Q: L6Q4.If A and B are dependent events, to find the probability that the two dependent events would…

A: Dependent events:Two events are said to be dependent when the outcomeof the first event influences…

Q: f If the events A and B are independent with P(A) = 0.50 and P(B) = 0.40, then the intersection…

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Q: 1. A bag contains 10 white and 8 red balls. Four balls are chosen at randomly. Find the…

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Q: Assume that A and B are events. If P(AUB)= 0.8, P(A) = 0.4, and P(B) = 0.75, find P(AnB). P(AnB) =…

A: For any two eevents A and B, P(A∩B)=P(A)+P(B)-P(A∪B)

Q: P2. Urn A has 2 white and 3 black balls, Urn B has 4 white and i black, Um C has 3 white and 4 black…

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Q: 2. Draw one card at random from a standard deck of 52 cards. Assume that the cards are equally…

A: A = {x: x is a jack, queen, or king}B= {x: x is a 9, 10, or jack and x is red} C= {x: x is a club}…

Q: A bag of M&M's has 5 red, 4 green, 6 blue, and 3 yellow M&M's. Suppose you randomly select two M&M's…

A: 5 - red 4 - green 6 -blue 3 - yellow _____________ 18 - total M & M

Q: Let A={1,2}, B={2}, C={1,3}, D={2,3}. Select a pair of mutually exclusive events.

A: Event Event Event Event

Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

A: Let , A and B be the two events. We have , P(A)>0 and P(B)>0 i.e. both have positive…

Q: Show that if A and Ą are two events, then P(A) + P(A₂) −1≤ P(Ą_Ą).

A:

Q: When can two independent events D and E only be disjoint

A: Given that When can two independent events D and E only be disjoint

Q: Two events A and B are said to be mutually exclusive if: OA. P(A and B) = 0 B. P(A and B) = 1 OC.…

A: In statistics, an event is a subset of the sample space of a random experiment.

Q: if two events A and B are manually exclusive, what is the value of P(A and B)?

A: If two events not occur at same time,then those events are called as mutually exclusive events.

Q: Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6…

A: No. of urnsIn the first urn,White ballsBlack ballsIn the second urn,White ballsBlack balls ball is…

Q: Which of the following values cannot be probabilities? 1, 1.41, -0.53, √2, 0, 0.02, 5/3, 3/5

A: Here Given  values of probability  1, 1.41, -0.53,2 ,  , 0 0 .02, 5/3 , 3/5

Q: If x and y are independent events, show that x complement and y complement are independent events.

A: It is given that x and y are independent events. That is,

Q: There are 7 councilors in the Ames City council. Three of them are female. Suppose they need to…

A: Given data: The total number of councilors is n=7. The numbers of females are f=3. The expression…

Q: If A, B, C, and D are independent event Prove that AUB and C- D are independent.

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Q: Two dice, one green and one yellow, are rolled. Find the conditional probability. The sum is 12,…

A: Let 'S' be the sample space representing all the possible outcomes of throwing two dice together.…