Question
Asked Oct 1, 2019
24 views

Assume the box contains 7 balls: 2 red, 2 blue, and 3 yellow. A ball is drawn and its color noted. If the ball is yellow, it is replaced; otherwise, it is not. A second ball is then drawn and its color is noted.

What is the probability that the first ball was yellow, given that the second was red?

check_circle

Expert Answer

Step 1

From the given information, the total number of balls 7. There are 2 red, 2 blue and 3 yellow balls.

Step 2

Obtain the first ball was yellow, given that the second was red as follows.

The sample space is given below.

help_outline

Image Transcriptionclose

[RR, RB,RY,BR,BB,BY, YRR.YRB, Sample spaceYRY.YBR.YBB, YBY,YYR,YYB,YY)

fullscreen
Step 3

probability as ...

help_outline

Image Transcriptionclose

12 X X = 7 7 6 3 2 2 2 1 2 P(YBR P(RR) =_ X- = 294 7 6 42 2 2 4 3 2 1 X X 7 7 6 P(RB) P(YBB) X -_ 6 294 6 42 2 3 6 3 2 2 12 P(YBY P(RY) X-X 7 6 42 7 7 6 294 2 2 X = 4 3 2 X-X 2 12 P(BR P(YYR) 294 6 42 7 7 6 2 1 2 3 2 X X 7 7 2 12 P(BB P(YYB) X 7 6 42 6 294 2 3 6 3 2 1 =-X-X 6 P(YYY 7 P(BY) X 7 6 42 6 294 3 2 2 12 3 2 1 P(YRR 7 P(YRB) X = 7 6 294 7 6 294 2 2 3 X X = 12 P(YRY= _ 7 7 6 294 X X

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
question_answer

Q: A weighted coin with Pr[H]=45 is flipped two times. What is the probability at least one of the flip...

A: To work out the conditional probability. We assume P(H)=c, (not clear from the question. as P(H) can...

question_answer

Q: if A ={x,{y},1,2,3,{2,3},{3}}      {} a proper subset of A      true or false

A: The problem is concerned with the nature of the empty set. The specific question is whether the empt...

question_answer

Q: G be defined by f(r) = x1. Prove that f is operation-preserving if 6*. Let G be a group and f: G and...

A: To prove that the given function f is a homomorphism (operation preserving) if and only if G is abel...

question_answer

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/...

A: Let P be the revenue from digital sales of pop, T  be the revenue from digital sales of tropical and...

question_answer

Q: Brent borrowed ​$2000 from his brother Dave. He agreed to repay the money at the end of 4 ​years, gi...

A: Principal amount is $2000.Rate of interest (quarterly) r is 1.75%/4.The number of times compounded (...

question_answer

Q: I need help for problem 11. Thanks!

A: To investigate the parametric surface , with independent parameters s, t.

question_answer

Q: A survey of 300 parts showed that 150 had only camping, 20 had only hiking, 35 had only picnic area,...

A: It is given that, the total parks is 300.From the given information draw the Venn diagram as shown b...

question_answer

Q: are not vector spaces? 23) Which of the following subsets of C[-1,1] 1 (x)dx 0 f(x) E CI-1,1]: a) -1...

A: Condition for vector space:

question_answer

Q: the number of production defects is  29  and that  16  of these are classified as major defects,  12...

A: Number of production defects = 29Number of major defects = 16Number of design defects = 12Number of ...

question_answer

Q: For a real number r, define Sr to be the interval [r-1, r+2]. Let A={1, 3, 4}. Determine the union U...

A: To identify the union of the three sets completely

question_answer

Q: The number 0.60 is rational and can be represented in finitely many digits in decimal  a. can it be ...

A: Questions regarding the binary representation of 0.6

question_answer

Q: Theorem 4P.1 There are exactly six lines in the four-point geometry.   proof the Theorem 4P.1 by con...

A: To prove that in the Four point geometry , there are exactly six lines: the proof should be based on...

question_answer

Q: Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.

A: It is required to obtain the number of binary strings of total length m+n, each string having exactl...

question_answer

Q: What is the square root of 323

A: The number is 323.

question_answer

Q: Consider the vector space V = C([0, 1]) of complex-valued functions that are continuous on [0, 1]. S...

A: To establish the Cauchy- Schwarz inequality for the functions in C[0,1]= the space of complex valued...

question_answer

Q: About the subsets A⊂B⊂CA⊂B⊂C of a universal set UU, except assume that n(A)=5n(A)=5 and n(C)=11n(C)=...

A: Question concerns the number of different possibilities for the subset B under the given conditions

question_answer

Q: Suppose that H is a subgroup of Z under addition and that H contains 250 and 350.  What are the poss...

A: To determine the possible subgroups H satisfying the given conditions

question_answer

Q: Suppose that the universal set is U={1,2,3,4,5,6,7,8,9,10}U={1,2,3,4,5,6,7,8,9,10}. Express each of ...

A: To represent the given sets in terms of binary strings (of length 10)

question_answer

Q: Assume that n(U)=70n(U)=70, n(A)=20n(A)=20, and n(B)=15n(B)=15. Then n((A∪B)′)=

A: The given details are                n(U) = 70                n(A) = 20                n(B) = 15

question_answer

Q: Problem, Section 11 number 5,8 and 9. Pliss answer the question

A: To work out the given expressions in the form x + iy (standard form)

question_answer

Q: How many cubic centimeters are there in 3.47yd^3Express the volume in cubic centimeters to three sig...

A: It is known that 1 yard is equal to 91.44Cm.Then 1yd3 is 764554.858cm3.

question_answer

Q: You are making maple pecan pies. Each crust will require 10 ounces of flour. You will be making 25 p...

A: The problem is mainly about conversion of units. (from ounces, or pounds to kilograms)

question_answer

Q: Order the following from least to greatest: A) 1000 grams B) 1/2 kilogram C) 3 pounds D) 30 ounces

A: The problem is concerned with arranging the amounts (expressed in different units ) in increasing or...

question_answer

Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all...

A: To describe the relations R, S and T and find out if they are functions

question_answer

Q: Give a combinatorial proof of each of the following identities (i.e. do not manipulate the expressio...

A: To give proofs of the given identities (involving binomial coefficients) using counting arguments

question_answer

Q: After reading consumer car guides and receiving advice from family and friends, Ayshahas chosen the ...

A: (a)Maximum loan amount required, P is $17,650 – $7,500 = $10,150.Credit union’s interest rate, i is ...

question_answer

Q: Chapter 6, Section 6.2, Question 039 The graph of f is shown in the figure below. B f (x) Using the ...

A: To deduce the appropriate transformation of the function f(x) from the graphs

question_answer

Q: Possible products whose factors multiply to −2 are?

A: To find the solutions of XYZ = -2 in integers

question_answer

Q: -(1/t)2 for t0 2.65. If f(t) = show that f(n) (0) = 0 for all n for t= 0'

A: To show that the function f(x) , as defined , has all its derivatives 0 at x =0

question_answer

Q: Find the solution of the initial value problem y' + (2/t)y = sin(t)/ t2 , y(π) = 0, t > 0.

A: Click to see the answer

question_answer

Q: x + 7=2

A: Consider the provided equation:

question_answer

Q: Suppose that you inherit ​$10 comma 00010,000. The will states how you must invest the money. Some​ ...

A: Note: Here we have considered that “$10 comma 00010,000 , $30003000, $0.140.14, ​$20002000, ​$0.190....

question_answer

Q: Let Z denote the set of integers, and let 1 0 G 0 1 0 0 |a Z} 0 1 Prove that G together with the usu...

A: To prove:

question_answer

Q: For S3, describe the conjugacy classes of S3 by listing one representative from each class and, at t...

A: To write down the conjugacy classes in S3, the symmetric group on 3 symbols

question_answer

Q: what are infinite subsets?

A: First understand, what is an infinite set? 

question_answer

Q: Let A,B,C⊆UA,B,C⊆U and n(U)=130n(U)=130. What are the smallest and largest possible values of n(A)? ...

A: To determine the number of elements in the given sets under the given conditions

question_answer

Q: Suppose P is the set of numbers that are divisible by 5 and Q is the set of numbers divisible by 10....

A: To decide whether P is a subset of Q or the other way

question_answer

Q: Write 25/45 in lowest term

A: Obtain the value of the expression 25/45 in lowest form as follows: 

question_answer

Q: In 1950​, there were 238,229 immigrants admitted to a country. In 2002​, the number was 1,009,872. A...

A: Suppose that the number of immigrants is expressed by y and number of years denoted by t,Now, by giv...

question_answer

Q: Let (a,b)=1 Show that (a+b, a-b)=1 or 2. When is this GCD 1? When is 2?

A: Proof:It is given that gcd(a,b) = 1. So ax + by = 1.Let gcd(a + b, a – b) = d, then d|( a + b) and  ...

question_answer

Q: I need help with the rules for finding the difference quotient. for example. f(x)= 1/x^2

A: To evaluate the difference quotient for the given function

question_answer

Q: What is the probability of a paint defect What is the probability of a paint defect which includes a...

A: (1) Obtain the probability of a paint defect.

question_answer

Q: In a linguistics program there are 61 students.  Of these students, 30 of the students speak Finnish...

A: Let us say that,

question_answer

Q: A coin is tossed 4 times and the sequence of heads and tails is recorded. Use the Fundamental Princi...

A: Given that, a coin is tossed 4 times.For each time a coin is tossed, there are two possible outcomes...

question_answer

Q: What is the fibonacci sequence?

A: Fibonacci sequence are the numbers that have the following sequence.1,1,2,3,5,8,13,21,34,55,89,144….

question_answer

Q: A NASA spacecraft measures the rate R of at which atmospheric pressure on Mars decreases with altitu...

A: Unit Conversion Formula:

question_answer

Q: sixteen people responded to an email survey on family pets. of the 16 who responded, 9 stated they h...

A: According to the given information:Let,

question_answer

Q: National Business Machines manufactures x model A fax machines and y model B fax machines. Each mode...

A: From the given information, the machines manufactures x model A fax machines and y model B fax machi...

question_answer

Q: (3.00*10^2)(2.0*10^5)

A: We are given the expression (3.00*10^2)(2.0*10^5). Here we need to calculate the product of the give...

question_answer

Q: Let A={x,y,z,1} and let B= {1,2,4}. If a set  U= (A x B) U (B x A), how many elements are there in U...

A: Recall the following facts.