A committee of 4 is to be selected from 5 men and 4 women. The probability that the committee has exactly 2 women is: MCQ with Answer and Explanation

A committee of 4 is to be selected from 5 men and 4 women. The probability that the committee has exactly 2 women is:
A. 10/21
B. 1/2
C. 20/63
D. 5/9
Answer: Option A
Solution (By JKExamLibrary)
Total ways C(9,4)=126. Favorable: C(4,2)×C(5,2)=6×10=60. Probability = 60/126 = 10/21.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
For mutually exclusive events A and B with P(A)=0.4, P(B)=0.3, P(A∪B) is:
A. 0.58
B. 0.12
C. 0.7
D. 0.1

Correct Answer: Option C


Explanation:
Since A and B are mutually exclusive, P(A∪B) = P(A) + P(B) = 0.7.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
If the mean of a set of 10 observations is 20, and 5 is added to each observation, what will be the new mean?
A. 25
B. 15
C. 100
D. 20

Correct Answer: Option A


Explanation:
The arithmetic mean is affected by the change of origin. If a constant is added to all observations, the mean increases by that constant.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
The main source of vital statistics in India is:
A. Sample Registration System
B. Census
C. National Sample Survey
D. Civil Registration System

Correct Answer: Option D


Explanation:
Civil registration system records births and deaths as they occur.

This question belongs to: Accountancy and Statistics Statistics