Among $15$ players,$8$ are batsmen and $7$ are bowlers. Find the probability that a team of $11$ players is chosen consisting of $6$ batsmen and $5$ bowlers.

  • A
    $\frac{{}^8C_6 \times {}^7C_5}{{}^{15}C_{11}}$
  • B
    $\frac{{}^8C_6 + {}^7C_5}{{}^{15}C_{11}}$
  • C
    $\frac{15}{28}$
  • D
    None of these

Explore More

Similar Questions

$A$ drawer contains $5$ brown socks and $4$ blue socks well mixed. $A$ man reaches the drawer and pulls out $2$ socks at random. What is the probability that they match?

In a game of cards,what is the probability that a specific player holds all $4$ kings in a hand of $13$ cards?

Difficult
View Solution

$A$ committee of $5$ is to be chosen from a group of $9$ people. The probability that a certain married couple will either serve together or not at all,is

If $4$-digit numbers greater than $5,000$ are randomly formed from the digits $0, 1, 3, 5,$ and $7$,what is the probability of forming a number divisible by $5$ when the digits are repeated?

Difficult
View Solution

If $6$ girls and $5$ boys are sitting in a row,what is the probability that no two boys sit together?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo