Illustration 16.37. A bag contains, identical except for colour, of which 5 are red and 3 white. A man draws two balls at random. What is the probability that : (i) one of the balls shown is white and the other red? (ii) both are of the same colour? What would be the values of these probabilities if a ball is drawn and replaced, and, then, another ball is drawn.

Q: A bag contains 7 red marbles, 6 white marbles, and 8 blue marbles. You draw 3 marbles out at random,…

A: (a)   Obtain the probability that all the marbles are red.   The probability that all the marbles…

Q: Lidia keeps eight cards with the picture of a tomato and four cards with the picture of a carrot on…

A: There are 8 cards with tomato and 4 cards with a carrot. So there are total (8+4)=12 cards.

Q: 115 patients in a clinical trial. Of those, 35 re ed the real drug and were not cured, 28 receive…

A: The objective is to test whether getting the medication and being cured is independent or not. This…

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: A bag contains 9 red marbles, 7 white marbles, and 6 blue marbles. You draw 3 marbles out at random,…

A: Given,Number of red marbles=9Number of white marbles=7Number of blue marbles=6Total marbles=22

Q: In a game of bridge, West has no aces. What is the probability of his partner’s having a. No aces?…

A: Given that, West has no ace The partner of the west will be East. There are a total of 52 cards in a…

Q: A bag contains 14 blue balls and 6 red balls. If 2 balls are drawn at random from the bag, with the…

A: Given Information: A bag contains 14 blue balls and 6 red balls, 2 balls are drawn at random from…

Q: We roll four 6-sided dice. What are the probabilities of each of the following outcomes? A. All four…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Jimmy has a drawer with eight pairs of socks, of which four pairs are yellow (Y) and four pairs are…

A: Given: Total number of pairs  = 8 = (16 socks) Number of Yellow pairs = 4 = (8 socks) Number of Red…

Q: .A couple plans to have three children. Find these probabilities. a. Of all girls or all boys.  b.…

A: Let the random variable X denote the number of boys among the 3 children. Here the total number of…

Q: The probabilities that the secretary of a construction company, her manager, or both will be sick on…

A: Let A=secretary will be sick  B=manager will be sickGiven,P(A)=0.04P(B)=0.07P(A∩B)=0.02

Q: If two cards are selected from a standard deck of 52 cards and are not replaced after each draw,…

A: a)The probability of choosing the first 9 can be written as:

Q: Suppose P(B) = 0.4, P(D) = 0.6, and P(BND) = 0.2. Find the probabilities below. a. P (DC) b. P (BC)…

A:

Q: 2. You are taking a 5 question test and have to guess all the answers (each question has only 1…

A:

Q: A bag contains 8 red marbles, 5 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A: A bag contains 8 red marbles (r), 5 white marbles (w), and 7 blue marbles (b).

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: Two marbles are selected from this bag that contains exactly 4 black and 2 white marbles. The first…

A:

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

A:

Q: A bag contains 9 red marbles, 6 white marbles, and 7 blue marbles. You draw 3 marbles out at random,…

A: It is given that Number of red marbles = 9 Number of non-red mables = 13 Total = 22 Sample size = 3…

Q: A bag contains 8 red marbles, 7 white marbles, and 6 blue marbles. You draw 3 marbles out at random.…

A: a) Given that there are 8 red marbles, 7 white marbles, and 6 blue marbles. So there are total…

Q: If events C and D are mutually exclusive, then P(C and D) = A. 1 B. 0 C. .50 D. the sum of the…

A: Given data is The events C and D are mutually exclusive

Q: Use combinations to answer the following problem: I want to choose a group of students from my…

A: Combination:It represents the number of ways to choose x elements from a set of n elements. In…

Q: In a group of 20 students, 7 like ice tea and the others do not. Two students are randomly selected…

A: Given : Total students = 20 Number of students like ice tea = 7 number of students does not like ice…

Q: wo fair dice are rolled. Event A = {the sum on the two dice is more than seven} Event B = {the two…

A: