A box contains 12 balls numbered 1 through 12. Two balls are drawn in succession without replacement. If the second ball has the number 4 on it, what is the probability that the first ball had a smaller number on it? An even number on it?

A box contains 12 balls numbered 1 through 12. Two balls are drawn in succession without replacement. If the second ball has the number 4 on it, what is the probability that the first ball had a smaller number on it? An even number on it?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: 2. Warren is risk-averse, with Bernoulli utility function u(w) = Vw and initial wealth W. He has…

A: It is given that Warren has access to an investment opportunity described as follows:-Final wealth…

Q: Graph G is defined by the arrow diagram below. 1 2 4 Select the pair of vertices such that there is…

A: Given that -

Q: A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then…

A: We have given the following statement A blow has 8 green grapes and 15 red grapes. Total grapes =…

Q: Question 5 Suppose you made a batch of cookies, consisting of: 5 snickerdoodles 5 oatmeal 6…

A: Solution

Q: In a children's game, the die has two faces marked with 1, two faces marked with 2, and two faces…

A: Given: A die has two faces marked with 1, two faces marked with 2, and two faces marked with 3 Two…

Q: The average number of emergency calls that an ambulance service gets per day is 5. What is the…

A: The average number of emergency calls that an ambulance service gets per day is 5. What is the…

Q: 1. Guiven are tive obsen vation for two Vatcia bles , z and y. 123 45 Y; 3 7 5 Il 14 Develop a…

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

Q: Balanced incomplete blocks Incompleteness necessary if blocks are too small to allow us to run all…

A: Incompleteness in Designs:

Q: (a) Calculate the moment generating function for X. (b) Use the moment generating function to…

Q: Number plates in an Arab country consist of 3 letters (chosen from a specified set of 20 letters…

Q: An integer is chosen at random from the first fifty integers. What is the probability that the…

A: From the provided information, Total numbers = 50 The prime numbers from the first fifty integers…

Q: David is selling raffle tickets from door to door to raise money for charity. To reach his daily…

Q: (a) Show that the joint pdf for U, V is of the form f(z, y) = { e exp(-u- v), if (u, v) E A…

A: The Jacobian method of transformation will be used to find the joint pdf of U and V.

Q: Find the area under the normal curve in each of the following cases. Sketch and label each curve. 1.…

A: Given that We Find the area under the normal curve in each of the following cases. Sketch and label…

Q: Exhibit 4 A random sample of 121 bottles of cologne showed an average content of 9 ounces.…

A: Given that Sample size n =121 Population mean μ =9 Population standard deviation =0.18 NOTE:-…

Q: 27, Only 65% of people living in Nebraska have received the COVID-19 booster. A randoes seie et re…

Q: (a) There are 18 girls and 18 boys in a class. To find out their most favorite subjects in the…

Q: Number of women in Makati City who died from lung cancer in 2004 estimated revenue (in peso) in…

A: We have given that the statement about to the proportion.

Q: 2. Suppose a jar has only four coloured jelly beans: Blue, Purple, Red, and Yellow, in the ratio…

A: Given, Blue, Purple, Red, Yellow 5:4:6:8 Total jelly = 92

Q: 5. A pair of dice are tossed. The results are multiplied with one another. a. Draw a table to list…

A: HERE AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ REPOST FOR REMAINING QUESTION…

Q: Which of the following is true about the probability density function (pdf) of a continuous random…

A: We have given that the statement about to the probability density function (pdf) of a continuous…

Q: Question 3: A game of zumpie consists of 3 teams; 2 teams lose and 1 team wins. Fifty-one teams…

Q: a) There are 18 girls and 18 boys in a class. To find out their most favorite subjects in the class,…

A: Sampling: Method of selection of some individuals/items from the population.

Q: Three cards are drawn without replacement from the 12 face cards (jack, queen and king) of an…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 2 dice are thrown simultaneously. Wha is the probability that the sum of the numbers on the faces is…

A: When two dice thrown So total no. of possible outcomes will be 6^2=36. These are[…

Q: 3. A group of students got the following scores in a test: 6, 9, 12, 15, 18, and 21. Consider…

Q: a. What is the probability that B occurs? b. What is the conditional probability that B does not…

A: Here Given P(A)=0.5 P(A/B)=0.25 P(B/A)=0.2

Q: het are the variance and standard deviation of the sampling distribution of the sample mean if n =…

A: Given that n=45 , s=13 Find variance and standard deviations of sampling distribution of sample…

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: We have given that, A pair of dice are tossed the the sample space (S) is, S= {(1,1), (1,2),…

Q: 3.

A: We have two types of data: 1. Qualitative : Data that can’t be counted or measured using numbers and…

Q: . Sheldon owns a mango farm and the weight of his mangoes are normally distributed with an average…

A: here N = 800 n = 50 μ = 200 gramσ = 15 grams

Q: Short Answer. Supply the correct answer. 1. In a sampling distribution, as the sample size increases…

A: As per central limit theorem, the z score formula of sample means is given by…

Q: In a normally distributed set of data containing 28 658 scores, determine the number of scores that…

A: Since you posted a question with multiple subparts, we will solve first three subparts for you. To…

Q: 1. Compute for the experimental probability of having a 4 when rolling a die stu the following…

A: 1. Given formation: Result Frequency 1 19 2 22 3 19 4 21 5 19 6 20 Total 120…

Q: A fire-detection device utilizes three temperature-sensitive cells acting independently of each…

Q: If X*N(0,1) then X2- G(1,2) O 3 ju! G(1/2 ,2) O 2 s4I الخيار 2

A: Given x~N(0,1)

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

Q: A city has two small hospitals one at the south end and the other at the north end. Let X denote the…

Q: Ins 1. State whether each of the statements below is true (T) or false (a) During the hypothesis…

A: Given that We have to find True or False (a) During the hypothesis test procedure, we reject the…

Q: Construct all random samples consisting two observations from the given data. You are asked to guess…

Q: In a 3-children family, what are the possible outcomes of gender of the children? Draw a tree…

A: ( 1 ) In a family of three children,what are the possible outcomes of gender of the children Draw a…

Q: If x-Exp(5), then M,(t) is

A: Given,X~Exp(5)f(x)=5e-5x ; x≥0

Q: A scientist is interested in two different types of particles; type A and type B. The time that it…

A: see the attachment.............

Q: SAMPLE SAMPLE SAMPLES 9. TRIAL MEAN 7.2 VARIANCE 9.7 7 8 10 1 6. 7 13 6.4 18.8 3 2 4 9. 10 6.2 11.2…

A: We have to create a frequency distribution of sample means There must be 4 classes and class size…

Q: 1.) In how many ways can 8 members of board of directors be chosen from 5 juniors and 7 seniors if…

A: HERE GIVEN TOTAL NO MEMEBER=12 No of Juniors=5 No of seniors=7 No of BODS To be chosen=8

Q: David is selling raffle tickets from door to door to raise money for charity. To reach his daily…

A: Given: P(Success) = 1/3 = 0.33

Q: Incidence-Proportion In the study of hypertensive individual, 100 of the 189 hypertensive men died…

A: Proportion is the fraction of the whole data. Each proportion has a numerator and denominator part.…

Q: Let X1, X2, X3… X20 be a random sample from a distribution with mean 8 and variance 5. Find the mean…

Q: An experiment consists of tossing a pair of dice and then flipping a coin. Use H when the coin is…

A: Tossing a pair of dice: Total sample points = 36 Tossing a coin: {H , T } Total sample points : 2

Q: An organization has 15 members, 5 of whom are analysts, 3 of whom are chemists and the rest are…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Question

A box contains 12 balls numbered 1 through 12.
Two balls are drawn in succession without replacement. If the second ball has the number 4 on it, what is the probability that the first ball had a smaller number on it? An even number on it?

Expert Solution