Home
Class 12
MATHS
A committee of five is to be chosen from...

A committee of five 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

A

`(1)/(2)`

B

`(5)/(9)`

C

`(4)/(9)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
The couple serves the committee in `.^(7)C_(3)xx .^(2)C_(2)` ways.
The couple does not serve the committee in `.^(7)C_(5)` ways.
`therefore` Required probability `=(.^(7)C_(3)xx .^(2)C_(2)+.^(7)C_(5))/(.^(9)C_(5))=(56)/(126)=(4)/(9)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|30 Videos

  • PROBABILITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Exercise 1 (TOPICAL PROBLEMS)|44 Videos

  • PRACTICE SET 24

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Paper 2 (Mathmatics)|50 Videos

  • SEQUENCES AND SERIES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 31|1 Videos

Similar Questions

Explore conceptually related problems

A comittee of 5 is to be chosen from group of 9 people.No.of ways it can be formed if 2 oarticular persons either serve together or mot at all.And 2 other particular persons refuses two serve with each other.

A committee of 5 is to be chosen from a group of 9 people.Number of ways in which it can be formed if two particular persons either serve together or not at all and two other particular persons refuse to serve with each other,is

A committee of five is to be chosen from a group of 8 people which included a married couple. The probability for the selected committee which may or may not have the married couple is

If a committee of 3 is to be chosen from a group of 38 people of which you are a member. What is the probability that you will be on the committee?

A committee of 3 persons is chosen from 4 men and 2 women. Probability that it includes at least one person of either sex is

A committee of 5 Students is to be chosen from 6 boys and 4 girls. Find the probability that the committee contains exactly 2 girls.

A committee of three has to be chosen from a group of 4 men and 5 women. If the selection is made at randon, what is the probability that exactly two members are men?