List the elements of the set corresponding to A ∩ B.

Q: Suppose you have three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue, Y…

A: Given that there are three bowls, X, Y, and Z, each with four balls with X having 2 red and 2 blue,…

Q: The group of students who are selecting 2 of their group at random to give a report, but assume that…

A: Given: The group of students who are selecting 2 of their group at random to give a report, but…

Q: A committee of 8 is formed from a group of 15 women and 20 men. Determine the probability that the…

A: Given data No of women = 15 No of men = 20 Total Person = 20 + 15 = 35 A committee of 8 is formed…

Q: n each of the cases, briefly state whether the 2 events A and B are indpendent and why (a) Roll two…

A: a. If two dice are rolled then total number of outcomes 6*6 = 36 Define two events, A: The first die…

Q: You have two bags. The first bag contains 4 yellow pens and 8 orange pens. The second bag contains 5…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: box contains 5 balls labelled 1, 2, 3, 4 and 5. a player draws a ball from the box randomly. if the…

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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: 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: A spinner has numbers 1–9 marked equally on the face. If the spinner is spun 2 times, what is the…

A: Given Information: A spinner has numbers 1–9 marked equally on the face and the spinner is spun 2…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

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Q: Decide whether the events are disjoint. Being a college graduate and being male Are the events…

A:

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: Five people ​(AntoineAntoine​, Byron​,Chloe​,Dennis​,and Emily​)form a​ club, N=​{A, ​B, C,​ D,…

A: The odds against is the ratio of the number of ways that an outcome cannot occur to the number of…

Q: Give an example of three events A, B, and C, such that A and B are mutually exclusive, B and C are…

A: Given The events that cannot occur at the same time are called mutually exclusive variables.

Q: Determine whether each set of events is independent or dependent.  randomly selecting from your…

A: Independent Events: Two events are said to be independent if the result of one of the events does…

Q: e events A and B are mutually exclusive or not mutually exclusive. A card is drawn from a standard…

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

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 4 white and 1 black, 3rd – 2 white…

A: E1: Box 1 P(E1) = 1/3 E2: Box 2 P(E2) = 1/3 E3: Box 3 P(E3) = 1/3 A: The ball is white P(A|E1) = 2/3…

Q: suppose you have 6 tennis balls and you randomly pick some number of them. What is the probability…

A: Given: There are 6 tennis balls. You randomly select some number of balls. Required: To find the…

Q: A. Find the probability of first picking a card that is red suit and then picking a card that is red…

A:

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

A:

Q: The numbers 1, 2, . ..., n are arranged randomly in a sequence. Find the probability that the digits…

A: To find the probability that the digits 1 and 2 appear as neighbors in a randomly arranged sequence…

Q: Decide whether the events are disjoint. Being a receptionist and being an infan

A: We have to decide whether the events ,being a receptionist and being an infant is disjoint or not.

Q: Pick a random number from 1 to 1000. Find the probability that this number is not divisible by any…

A: Number of element of C =cardinality of C=Card(C) =1000

Q: Aaron draws one marble out of a bag, places it in his pocket, and then draws another marble. Are the…

A: Two events are considered independent if the outcome of the second case is unaffected by the outcome…

Q: Are the events A intersect B and the B intersect the same? Why

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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 the sets S={1,2,3,4,5,6,7,8}, A={2,3,5,7} and B={1,2,4,5,7} find the probability of P(AuB)…

A: Solution-: Given: S={1,2,3,4,5,6,7,8}, A={2,3,5,7} and B={1,2,4,5,7} We want to find P(A∪B)=?

Q: You pick three colored balls at random successively. What is the probability that the order is pink,…

A: It is given that Number of pink balls = 5 Number of white balls = 6 Number of gray balls = 7 Total =…

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: A group consists of 5 Democrats and 8 Republicans. 7 people are selected to attend a conference. a.…

A: In the given group there are 5 Democrats and 8 Republicans.