Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
English
Hindi

Question

Download Solution PDF

In a batch Of 100 resistors Of 1kiloohm resistance, 80 numbers are within the required tolerance values and 11 numbers are below the required tolerance values, the remaining are above the required tolerance values. If two resistors are drawn one after the other without replacement, the probability of the first one drawn is below and the second one drawn is above the required tolerance value is 

This question was previously asked in
ISRO VSSC Technical Assistant Mechanical 14 July 2021 Official Paper
Download PDF Attempt Online
View all ISRO Technical Assistant Papers >
  1. 0.01
  2. 0.09
  3. 0.11
  4. 0.89

Answer (Detailed Solution Below)

Option 1 : 0.01
Free Tests
View all Free tests >
Free
ISRO Technical Assistant Mechanical Full Mock Test
2.7 K Users
80 Questions 80 Marks 90 Mins
Start Now

Detailed Solution

Download Solution PDF

Explanation:

The total number of resistors is 100. Among them, 80 are within the required tolerance values, 11 are below, and the remaining (100 - 80 - 11 = 9) are above the required tolerance values.

The probability of drawing a resistor below the tolerance value first is the number of such resistors divided by the total number of resistors, which is 11/100.

After drawing one resistor, we have 99 resistors left. The probability of drawing a resistor above the tolerance value next is the number of such resistors divided by the remaining number of resistors, which is 9/99.

The probability of both events happening (drawing a resistor below the tolerance value first and drawing a resistor above the tolerance value next) is the product of the probabilities of the individual events, which is (11/100) * (9/99) = 0.01.

Download Solution PDF
Latest ISRO Technical Assistant Updates

Last updated on May 30, 2025

-> The ISRO Technical Assistant recruitment 2025 notification has been released at the official website. 

-> Candidates can apply for ISRO recruitment 2025 for Technical Assistant from June 4 to 18.

-> A total of 83 vacancies have been announced for the post of Technical Assistant.

-> The Selection process consists of a written test and a Skill test.

-> Candidates can also practice through ISRO Technical Assistant Electrical Test Series, ISRO Technical Assistant Electronics Test Series, and ISRO Technical Assistant Mechanical Test Series to improve their preparation and increase the chance of selection. 

‹‹ Previous Ques
Next Ques ››

More Conditional Probability Questions

Q1.In a batch Of 100 resistors Of 1kiloohm resistance, 80 numbers are within the required tolerance values and 11 numbers are below the required tolerance values, the remaining are above the required tolerance values. If two resistors are drawn one after the other without replacement, the probability of the first one drawn is below and the second one drawn is above the required tolerance value is 
Q2.If A, B, C are three mutually exclusive and exhaustive events such that if P(B) = \(\frac{3}{2}\)P(A) and P(C) = \(\frac{1}{2}\)P(B), then P(A) = _______
Q3.A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ________ (round off to two decimal places)
Q4.Company A products 10% defective products, company B produces 20% defective products and company C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.
Q5.Consider a dice with the property that the probability of a face with n dots showing up is proportional to n. The probability of face showing 4 dots is
Q6.A box contains five balls of same size and shape. Three of them are green coloured balls and two of them are orange coloured balls. Balls are drawn from the box one at a time. If a green ball is drawn, it is not replaced. If an orange ball is drawn, it is replaced with another orange ball. First ball is drawn. What is the probability of getting an orange ball in the next draw? 
Q7.Three boxes contain 6 red, 4 black; 4 red, 6 black; and 5 red, 5 black balls respectively. One of the boxes is selected at random and a ball is drawn from it. If the ball drawn is red, then what will be the probability that it is drawn from the first box?
Q8.20 percent of the pens produced in a factory are of red colour and 4 percent are red and defective. If one pen is picked up at random, then what is the probability of its being defective if it is red?
Q9.A bike manufacturing factory has two plants P and Q. Plant P manufactures 60 percent of bikes and plant Q manufacture 40 percent. 80 percent of the bikes at plant P and 90 percent of the bikes at plant Q are rated of standard quality. A bike is chosen at random and is found to be of standard quality. What is the probability that it has come from plant P?
Q10.In a given day in the rainy season, it may rain 70% of the time. If it rains, chance that a village fair will make a loss on that day is 80%. However, if it does not rain, chance that the fair will make a loss on that day is only 10%. If the fair has not made a loss on a given day in the rainy season, what is the probability that it has not rained on that day?

More Probability Questions

Q1.A boy has 5 red balls, 3 white balls, and 2 yellow balls. What percent of balls are yellow?
Q2.In a batch Of 100 resistors Of 1kiloohm resistance, 80 numbers are within the required tolerance values and 11 numbers are below the required tolerance values, the remaining are above the required tolerance values. If two resistors are drawn one after the other without replacement, the probability of the first one drawn is below and the second one drawn is above the required tolerance value is 
Q3.There are three boxes. First box has 2 white, 3 black and 4 red balls. Second box has 3 white, 2 black and 2 red balls. Third box has 4 white, 1 black and 3 red balls. A box is chosen at random and 2 balls are drawn out of which 1 is white, and 1 is red. What is the probability that the balls came from first box?
Q4.If A, B, C are three mutually exclusive and exhaustive events such that if P(B) = \(\frac{3}{2}\)P(A) and P(C) = \(\frac{1}{2}\)P(B), then P(A) = _______
Q5.A bag contains six red balls and four blue balls. If three balls are drawn in succession without replacement, the probability that the second and third balls drawn are red is ________ (round off to two decimal places)
Q6.The value of a and b so that the following is probability mass function X: 0 1 2 P(X = x): 3a 3b 4b with mean 1.1, is:
Q7.Two data set of sizes 9 and 6 have standard deviation 3 and 4 respectively and arithmetic means 3 respectively. The standard deviation of combined data set of size 15 is
Q8.Probability that a leap year selected at random containing 53 Sundays, is equal to
Q9.If two events A and B such that P(A ∪ B) = \(\frac{7}{8}\) and P(A ∩ B) = \(\frac{1}{4}\) and P(A) = \(\frac{5}{8}\), then P\((\overline{A} ∪ \overline{B})\) = ?
Q10.If the life of mobile batteries is exponentially disturbed with parameter \(\lambda\) = 0.002 days, the probability that a battery will last more than 1500 days is:
Suggested Test Series
View All >
ISRO Technical Assistant 2024 Mock Test
97 Total Tests with 2 Free Tests
Start Free Test
AE & JE Mechanical Engg. Exams Previous Year Papers Mock Test
178 Total Tests with   4 Free Tests
Start Free Test

More Engineering Mathematics Questions

Q1.If L = {1, 2, 3, 4, 6, 9, 36} is the lattice find the number of complements 9 is having in the below given Hasse diagram?
Q2.Which of the following statements is/are TRUE for undirected graphs?
Q3.A flip-flop is used to store the ____________.
Q4.Let \(\rm \begin{pmatrix}2&a\\\ b&c\end{pmatrix}\) be a 2 x 2 real matrix for which 6 is an eigenvalue. Which of the following statements is necessarily true?
Q5.If the value of the approximate solution of the initial value problem   \(\rm \left\{\begin{matrix}y'(x)=x(y(x)+1), &x\in R\\\ y(0)=β \end{matrix}\right.\) at x = 0.2 using the forward Euler method with step size 0.1 is 1.02, then the value of β is 
Q6.The system of linear equations 3x – 2y – kz = 10 2x – 4y – 2z = 6 x + 2y – z = 5m is inconsistent if :
Q7.The statement among the following that is a tautology is:
Q8.The logical statement (p ⇒ q) ∧ (q ⇒∼ p) is equivalent to
Q9.An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value k when k consecutive heads are obtained for k = 3, 4, 5, otherwise 𝑋 takes the value -1. The expected value of X, is
Q10.For the statements p and q, consider the following compound statements: (a) (~q∧(p → q)) → ~p (b) ((p∨q))∧~p) → q Then which of the following statements is correct?
Important Exam
Super Coaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti joy online teen patti teen patti joy mod apk teen patti palace teen patti app