Which of the following pairs are mutually exclusive? MCQ with Answer and Explanation

Which of the following pairs are mutually exclusive?
A. Getting a head and a tail in a single coin toss
B. Drawing a heart and a queen from a deck
C. Getting a 4 and an even number on a die
D. Getting an even number and a prime number on a die
Answer: Option A
Solution (By JKExamLibrary)
Head and tail cannot occur simultaneously in one toss.

This question belongs to: Accountancy and Statistics Statistics

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Practice More Statistics Questions

Question #1 Report Error
The arithmetic mean of first n natural numbers is:
A. n/2
B. 2n+1
C. (n+1)/2
D. n(n+1)/2

Correct Answer: Option C


Explanation:
Sum = n(n+1)/2, mean = (n+1)/2.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
Which of the following is a quantitative classification?
A. Religion
B. Nationality
C. Gender
D. Height in centimeters

Correct Answer: Option D


Explanation:
Height is a measurable quantity, hence quantitative classification.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
If the arithmetic mean of 5 numbers is 20, and the arithmetic mean of another 3 numbers is 28, the combined mean of all 8 numbers is:
A. 22
B. 23
C. 24
D. 25

Correct Answer: Option B


Explanation:
Combined mean = (5×20 + 3×28) / (5+3) = (100 + 84) / 8 = 184 / 8 = 23. This formula weights each group's mean by its size.

This question belongs to: Accountancy and Statistics Statistics