An insurance company selected $1600$ drivers at random in a particular city to find a relationship between age and accidents. The data is as below:
Age group of drivers Number of accidents in one year $(0, 1, 2, 3, >3)$ $18-25$ $320, 125, 75, 45, 30$ $25-40$ $400, 45, 50, 15, 10$ $40-55$ $150, 85, 13, 8, 10$ Above $55$ $150, 25, 17, 20, 7$
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
| Age group of drivers | Number of accidents in one year $(0, 1, 2, 3, >3)$ |
| $18-25$ | $320, 125, 75, 45, 30$ |
| $25-40$ | $400, 45, 50, 15, 10$ |
| $40-55$ | $150, 85, 13, 8, 10$ |
| Above $55$ | $150, 25, 17, 20, 7$ |
Find the probability of the following event for a driver selected at random from the city: being $25-40$ years of age and having exactly $2$ accidents in a year.
- A$\frac{1}{32}$
- B$\frac{1}{23}$
- C$\frac{1}{50}$
- D$\frac{1}{25}$
Explore More
Similar Questions
Here is an extract from a mortality table.
Age (in years) Number of persons surviving out of a sample of one million $60$ $16090$ $61$ $11490$ $62$ $8012$ $63$ $5448$ $64$ $3607$ $65$ $2320$
What is the probability that a person aged $61$ will live for $4$ years?
| Age (in years) | Number of persons surviving out of a sample of one million |
| $60$ | $16090$ |
| $61$ | $11490$ |
| $62$ | $8012$ |
| $63$ | $5448$ |
| $64$ | $3607$ |
| $65$ | $2320$ |
What is the probability that a person aged $61$ will live for $4$ years?
Medium
View SolutionFrom the list of telephone numbers of $100$ employees of a factory, the following frequency distribution of their unit place digit (for example, in the number $25828573$, the unit place digit is $3$) is given in the table below:
Unit digit $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ Frequency $8$ $9$ $12$ $15$ $10$ $7$ $12$ $10$ $9$ $8$
Find the probability that a randomly selected employee has a telephone number with unit digit $3$.
| Unit digit | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ | $9$ |
| Frequency | $8$ | $9$ | $12$ | $15$ | $10$ | $7$ | $12$ | $10$ | $9$ | $8$ |
Find the probability that a randomly selected employee has a telephone number with unit digit $3$.
Medium
View SolutionIn cricket,Rohit hits a century in $4$ innings out of $10$ innings. Find the probability that he did not hit a century.
Medium
View SolutionOver the past $200$ working days,the number of defective parts produced by a machine is given in the following table:
Number of defective parts $0$ $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $11$ $12$ $13$ Days $50$ $32$ $22$ $18$ $12$ $12$ $10$ $10$ $10$ $8$ $6$ $6$ $2$ $2$
Determine the probability that tomorrow's output will have more than $13$ defective parts.
| Number of defective parts | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ | $9$ | $10$ | $11$ | $12$ | $13$ |
| Days | $50$ | $32$ | $22$ | $18$ | $12$ | $12$ | $10$ | $10$ | $10$ | $8$ | $6$ | $6$ | $2$ | $2$ |
Determine the probability that tomorrow's output will have more than $13$ defective parts.
Medium
View SolutionTwo coins are tossed simultaneously $400$ times with the following frequencies of different outcomes:
Two heads: $100$ times
One head: $220$ times
No head: $80$ times
Find the probability of occurrence of each of these events.
Two heads: $100$ times
One head: $220$ times
No head: $80$ times
Find the probability of occurrence of each of these events.
Medium
View SolutionVedclass 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