Select Goal &
City
Select Goal
Explore
Question:
Two factories \( F_1 \) and \( F_2 \) produce cricket bats that are labelled. Any randomly chosen bat produced by factory \( F_1 \) is defective with probability 0.5 and any randomly chosen bat produced by factory \( F_2 \) is defective with probability 0.1. One of the factories is chosen at random, and two bats are randomly purchased from the chosen factory. Let the labels on these purchased bats be \( B_1 \) and \( B_2 \). If \( B_1 \) is found to be defective, then the conditional probability that \( B_2 \) is also defective is equal to __________ (round off to 2 decimal places).
Two factories \( F_1 \) and \( F_2 \) produce cricket bats that are labelled. Any randomly chosen bat produced by factory \( F_1 \) is defective with probability 0.5 and any randomly chosen bat produced by factory \( F_2 \) is defective with probability 0.1. One of the factories is chosen at random, and two bats are randomly purchased from the chosen factory. Let the labels on these purchased bats be \( B_1 \) and \( B_2 \). If \( B_1 \) is found to be defective, then the conditional probability that \( B_2 \) is also defective is equal to __________ (round off to 2 decimal places).
Updated On: Aug 14, 2024
Hide Solution
Verified By Collegedunia
Correct Answer: 0.42 - 0.44
Solution and Explanation
The correct Answer is : 0.42 -0.44(Approx.)
Was this answer helpful?
0
0
Top Questions on Probability
- A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls are blue. Assume that the balls are identical otherwise. Three balls are drawn randomly one after the other without replacement. For i = 1, 2, 3, let Wi, Gi and Bi denote the events that the ball drawn in the ith draw is a white ball, green ball, and blue ball, respectively. If the probability \(P(W_1β©G_2β©B_3)=\frac{2}{5N}\) and the conditional probability \(P(B_3|W_1β©G_2)=\frac{2}{9}\), then N equals ________.
- JEE Advanced - 2024
- Mathematics
- Probability
- If 12 fair dice are independently rolled, then the probability of obtaining at least two sixes is equal to __________ (round off to 2 decimal places)
- IIT JAM MS - 2024
- Statistics
- Probability
- Consider a coin for which the probability of obtaining head in a single toss is \( \frac{1}{3} \). Sunita tosses the coin once. If head appears, she receives a random amount of \( X \) rupees, where \( X \) has the \( \text{Exp}\left( \frac{1}{9} \right) \) distribution. If tail appears, she loses a random amount of \( Y \) rupees, where \( Y \) has the \( \text{Exp}\left( \frac{1}{3} \right) \) distribution. Her expected gain (in rupees) is equal to __________ (answer in integer).
- IIT JAM MS - 2024
- Statistics
- Probability
- Let \( X \) and \( Y \) be independent random variables having \( \text{Bin}(18, 0.5) \) and \( \text{Bin}(20, 0.5) \) distributions, respectively. Further, let \( U = \min\{X, Y\} \) and \( V = \max\{X, Y\} \). Then which of the following statements is/are correct?
- IIT JAM MS - 2024
- Statistics
- Probability
- Consider four dice \( D_1, D_2, D_3, \) and \( D_4 \), each having six faces marked as follows:In each roll of a die, each of its six faces is equally likely to occur. Suppose that each of these four dice is rolled once, and the marks on their upper faces are noted. Let the four rolls be independent. If \( X_i \) denotes the mark on the upper face of the die \( D_i \), \( i = 1, 2, 3, 4 \), then which of the following statements is/are correct?
Die Marks on faces \(D_1\) 4, 4, 4, 4, 0, 0 \(D_2\) 3, 3, 3, 3, 3, 3 \(D_3\) 6, 6, 2, 2, 2, 2 \(D_4\) 5, 5, 5, 1, 1, 1 - IIT JAM MS - 2024
- Statistics
- Probability
View More Questions
Questions Asked in IIT JAM MS exam
- Let \( a_n = 1 + \frac{1}{2} + \frac{1}{3} + \cdots + \frac{1}{n} \) and \( b_n = \sum_{k=1}^{n} \frac{1}{k^2} \) for all \( n \in \mathbb{N} \). Then
- IIT JAM MS - 2024
- Sequences and Series of real numbers
- Which of the following functions represents a cumulative distribution function?
- IIT JAM MS - 2024
- Sequences and Series of real numbers
- Let \( A \) be a \( 3 \times 5 \) matrix defined by
\[A = \begin{pmatrix}0 & 1 & 3 & 1 & 2 \\1 & 6 & 2 & 3 & 4 \\1 & 8 & 8 & 5 & 8\end{pmatrix}.\]
Consider the system of linear equations given by
\[A \begin{pmatrix}x_1 \\x_2 \\x_3 \\x_4 \\x_5\end{pmatrix} = \begin{pmatrix}3 \\1 \\10\end{pmatrix},\]
where \( x_1, x_2, x_3, x_4, x_5 \) are real variables. Then- IIT JAM MS - 2024
- Matrices and Determinants
- Let \( \Omega = \{1,2,3,4,5,6\} \). Then which of the following classes of sets is an algebra?
- IIT JAM MS - 2024
- Differential Calculus
- Consider the improper integrals
\[I_1 = \int_{1}^{\infty} \frac{t \sin t}{e^t} \, dt \]
and
\[I_2 = \int_{1}^{\infty} \frac{1}{\sqrt{t}} \ln\left(1 + \frac{1}{t}\right) \, dt.\]
Then:- IIT JAM MS - 2024
- Integral Calculus
View More Questions
SUBSCRIBE TO OUR NEWS LETTER
COLLEGE NOTIFICATIONSEXAM NOTIFICATIONSNEWS UPDATES
Download the Collegedunia app on 
Β© 2024 Collegedunia Web Pvt. Ltd. All Rights Reserved