An instructor has a question bank consisting of $300$ easy True / False questions,$200$ difficult True / False questions,$500$ easy multiple choice questions,and $400$ difficult multiple choice questions. If a question is selected at random from the question bank,what is the probability that it will be an easy question given that it is a multiple choice question?
- A$\frac{5}{9}$
- B$\frac{4}{9}$
- C$\frac{5}{14}$
- D$\frac{9}{14}$
Explore More
Similar Questions
In answering a question on a multiple choice test,a student either knows the answer or guesses. Let $\frac{3}{4}$ be the probability that he knows the answer and $\frac{1}{4}$ be the probability that he guesses. Assuming that a student who guesses at the answer will be correct with probability $\frac{1}{4}$. What is the probability that the student knows the answer given that he answered it correctly?
Medium
View Solution$A$ person is known to speak truth in $3$ out of $5$ times. If he throws a die and reports that it is six,then the probability that it is actually six,is
Suppose a girl throws a die. If she gets a $5$ or $6,$ she tosses a coin three times and notes the number of heads. If she gets $1, 2, 3$ or $4,$ she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head,what is the probability that she threw $1, 2, 3$ or $4$ with the die?
Medium
View SolutionThere are $3$ bags,each containing $5$ white balls and $3$ black balls. Also,there are $2$ bags,each containing $2$ white balls and $4$ black balls. $A$ white ball is drawn at random. Find the probability that this white ball is from a bag of the first group.
Three boxes $B_1$,$B_2$ and $B_3$ contain balls with different colors as follows:
Box White,Black,Red $B_1$ $2, 1, 2$ $B_2$ $3, 2, 4$ $B_3$ $4, 3, 2$
$A$ die is thrown. Box $B_1$ is chosen if either $1$ or $2$ turns up. Box $B_2$ is chosen if $3$ or $4$ turns up and box $B_3$ is chosen if $5$ or $6$ turns up. Having chosen a box in this way,a ball is drawn at random from that box. If the ball drawn is found to be Red,then the probability that it is drawn from box $B_2$ is
| Box | White,Black,Red |
|---|---|
| $B_1$ | $2, 1, 2$ |
| $B_2$ | $3, 2, 4$ |
| $B_3$ | $4, 3, 2$ |
$A$ die is thrown. Box $B_1$ is chosen if either $1$ or $2$ turns up. Box $B_2$ is chosen if $3$ or $4$ turns up and box $B_3$ is chosen if $5$ or $6$ turns up. Having chosen a box in this way,a ball is drawn at random from that box. If the ball drawn is found to be Red,then the probability that it is drawn from box $B_2$ is
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo