||| O PROBABILITY Intersection and conditional probability Suppose that a certain college class contains 63 students. Of these, 35 are juniors, 31 are business majors, and 8 are neither. A student is selected at random from the class. (a) What is the probability that the student is both a junior and a business major? (b) Given that the student selected is a junior, what is the probability that he is also a business major? Write your responses as fractions. (If necessary, consult a list of formulas.) (a) (b) O 3/5 X Españ ? G H M

Q: Math Major: Non-Math Major: Undecided on Major: Total: Preferred Ms. V: 25 42 50 117 Preferred Mr.…

A: Given,   Math Major: Non-Math Major: Undecided on Major: Total: Preferred Ms. V: 25 42 50 117…

Q: You own 8 CDs. You want to randomly arrange 7 of them in a CD rack. What is the probability that the…

A: Given that,No. of own CDs = 8No. of CDs arranged in a CD rack = 7

Q: Mary and Susan are each to play a tennis match. Let the probability that Mary wins her match be 0.65…

A:

Q: (a) What is the probability that the student is both a junior and a psychology major? (b) Given that…

A: Total students = 51 Juniors = 22 Psychology Majors = 30 Neither = 10

Q: Here is a table showing all 52 cards in a standard deck.  Suppose one card is drawn at random from…

A: Total no. of cards in a deck=52 No. of Red Heart cards in a deck=12 No. of Red Diamond cards in a…

Q: Katrina, Tyrone, Larry, Maria, Eduardo, Simone, and Jim have all been invited to a dinner party.…

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Q: A bag contains 2 black balls, 5 yellow balls, and 3 red balls. A ball is chosen and not replaced,…

A:

Q: John has 10 ties (7 are blue and 3 are red) and 4 pairs of shoes (2 brown and 2 black). He selects…

A: Given information: The number of blue ties is n(BT) = 7. The number of red ties is n(RT) = 3. The…

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: A television game show has 14 doors, of which the contestant must pick 3. Behind 3 of the doors are…

A: Given that ,                 Total doors=14 Behind 3 doors are expensive cars and 11 doors are…

Q: conditional probability) Assume that the box contains 8 balls: 1 red, 5 blue, and 2 yellow. As in…

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Q: The glee club has 14 members. A quartet of four members must be chosen to sing at the university…

A: There are total 14 members We can pick any 4 members from 14 members in 14C4=1001 waysa) If Hannah…

Q: The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a…

A: From the provided information, Outcome Probability 1 0.1 2 0.1 3 0.1 4…

Q: Suppose that a certain college class contains 44 students. Of these, 19 are sophomores, 27 are…

A: Given, The event S is defined as the student is a sophomore and event E is defined as the student is…

Q: A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules…

A: a) There are total 52 cards in a standard deck of cards. So, n(all)=52 There are only 1 card of 2 of…

Q: Let A and B be events. a. Use probability notation to represent the conditional probability that…

A: a. The conditional probability of an event B is the probability that the event will occur given the…

Q: Suppose events B and C are independent and P(B) = 1 P(C) = 1 3 6 Find the probability. (Enter the…

A: Here given that P(B) = 13     P(C) = 16A, B are independent so P(A,B) = P(A).P(B)

Q: Suppose that a certain college class contains 55 students. Of these, 30 are seniors, 28 are…

A: It is an important part of statistics. It is widely used.

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

A: The formula for combination is C(n, r) = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules…

A: Given Data: n(S)=52   a) Let A be the event of getting queen and a heart n(A)=1 P(A)=n(A)n(S)=152…

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

A: The total number of marbles is: N=3+4+3+2=12 Suzan grabs total of n=7 marbles. The probability that…

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Probability spaces. In a factory it is necessary to hire 30 people of both sexes, of which 13 of…

A: Step 1: The following information is given Total number of people of both sexes =30 Number of women…

Q: Suppose that a certain college class contains 50 students. Of these, 30 are freshmen, 24 are…

A: given dataevent A:-freshemen =30event B:- mathematics majors=2411 are  neither n(A∩B)=11a student is…

Q: Suppose that a certain college class contains 38 students. Of these, 26 are sophomores, 15 are…

A: Given Information: A certain college class contains 38 students. Of which 26 are sophomores and 15…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 green balls, 9 orange…

A:

Q: Suppose that a certain college class contains 37 students. Of these, 19 are seniors, 21 are biology…

A:

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

A: Given ,Number of red marbles , n(R) = 4Number of green ones , n(G) = 2Number of white ones , n(W) =…

Q: Suppose that a certain college class contains 36 students. Of these, 19 are freshmen, 23 are…

A: Solution: Let A be the number of student is a freshmen and B be the event that the students is a…

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A: Givenl In a parking lot there are only white cars, green cars, and red cars. If one car is selected…

Q: Three boys, Kofi, E 11 target are a 4 3 (i) they all miss,

A: Solution

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

A:

Q: Suppose that we have a deck of 30 cards. Both sides of the first 10 cards are colored red, both…

A: Given: Let R be the event that the top side of the top card is red.Let B be the event that the…

Q: Whenever Hank a bag of marbles, he grabs a handful at random . He has seen a a bag of two red…

A: a bag  contain oftwo red( R) marbles, two green( G) marbles, four white (W)marbles, and two…

Q: None

A: