Question: Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ..., 20}. Statement-1 The probability that the chosen numbers, when

Four numbers are chosen at random (without replacement) from the set {1,

Four numbers are chosen at random (without replacement) from the set {1, 2, 3, ..., 20}. Statement-1 The probability that the chosen numbers, when arranged in some order will form an AP is- 1 85 Statement-2 If the four chosen number form an AP, then the set of all possible values of common difference is (1, 12, 13, 14, 5}. [AIEEE 2010, 8M] (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1 (b) Statement-1 is true, Statement-2 is false (c) Statement-1 is false, Statement-2 is true (d) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detaile... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Use the Flu Triage example to construct a simulation of a drive through car wash. The primary difference is that this model will require three cumulative probability functions, whereas the Flu Triage...

A hand of 10 cards is chosen at random without replacement from a deck of 52 cards. What is the probability that the hand contains exactly 2 Aces, 2 Kings, 3 Queens, and 3 Jacks?

The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...

A set of spur gears is employed to convey motion from an AC motor generating 80 horsepower at 3,000 revolutions per minute (rpm) to a milling machine operating at 1,600 rpm. Your tasks is to: a....

1. What is the mass of a 4-pound weight? 2. Manning's equation is given below for English units. Q is discharge in ft/s, n is dimensionless, A is the channel cross-sectional area in square ft, P is...

In the New York State Lottery game "Take 5," five numbers are chosen at random without replacement from the numbers 1,2,,39 . Let X denote the number of even numbers chosen. The random variable X has...

Algebra II HW 0.5 Name Find each probability. 1. Hal is tossing a quaJter. a. What is the probability he will toss heads? b. What is the probability he will toss tails? c. What is the probability he...

CMPSC 360 Instructors: Sofya Raskhodnikova Discrete Mathematics for Computer Science Yanling Wang Pennsylvania State University April 15, 2015 Homework 11 - Due Wednesday, April 22 before the...

1) Consider the following data set consisting of test scores of students in a math class: 5 16 18 51 59 59 62 63 64 65 66 66 67 69 70 71 72 73 74 75 76 76 76 77 83 83 85 a. Obtain the five-number...

Question #1: (10 pts) Identify each of the following as a discrete or continuous random variable. (c) Yearly maximum daily amount of ozone in Los Angeles. (d) Time it takes for a plumber to fix a...

The speed of waves on a lake depends on frequency. For waves of frequency 1.0 Hz, the wave speed is 1.56 m/s; for 2.0-Hz waves, the speed is 0.78 m/s. The 2.0-Hz waves from a speedboat's wake reach...

Bexx Enterprise specialized in producing canned sardine that passes through two manufacturing processes. The cost of processing for each process in December 2020 was as follows: Direct material...

A cylindrical tank of radius 6 meters and height 1 1 meters is filled with water to a depth of 5 meters. How much work does it take to pump all the water over the top edge of the tank? Round to the...

5.1.1 Heat is transferred to a heat engine FURNACE from a furnace at a rate of 80 MW. If the rate On= 80 MW of waste heat rejection to a nearby river is 50 MW, determine the net power output and the...

A 50.0-g copper calorimeter contains 250 g of water at 20.0C. How much steam at 100C must be condensed into the water if the final temperature of the system is to reach 50.0C? Note: Water Latent Heat...

Suppose we have a 2D array M: } } { a) Write an algorithm to traverse this array and make a pair of brackets : Hint: [), {}, () b) Write a separate logic in a form of algorithm, as you get a bracket...

1 What is the relationship between geographic information and opidemiology (branch of medicine which deals with the incidence, distribution, and possible control of diseases and other factors...

Question 2 of 10 Step 1 of 201:27:52 Consider the following system of equations. 4x+y=32x+4y=8 Step 1 of 2 : Determine if the point (-5,3) lies on both of the lines in the system of equations by...

Prove Theorem 17.14. L1, L2 be an orthogonal pair of n X n Latin squares. If L1, L2 are standardized as L*1, L*2, then L*1, L*2 are orthogonal.

In how many ways can 15 (identical) candy bars be distributed among five children so that the youngest gets only one or two of them?

For n 3, recall that the wheel graph, Wn, is obtained from a cycle of length n by placing a new vertex within the cycle and adding edges (spokes) from this new vertex to each vertex of the cycle....

A person with compromised pinch strength in his fingers can exert a force of only 6.0 N to either side of a pinch held object, such as the book shown in FIGURE P6.58. What is the heaviest book he can...

Starting from rest, a 2500 kg helicopter accelerates straight up at a constant 2.0 m/s 2 . What is the helicopters height at the moment its blades are providing an upward force of 26 kN? The...

Its a snowy day and youre pulling a friend along a level road on a sled. Youve both been taking physics, so she asks what you think the coefficient of friction between the sled and the snow is. Youve...