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

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

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Practice More Statistics Questions

Question #1
Which of the following is an example of a leading question?
A. How often do you exercise?
B. List three improvements you would suggest.
C. What is your age?
D. Do you agree that the new policy is beneficial?

Correct Answer: Option D


Explanation:
It suggests that the policy is beneficial, leading the respondent to agree.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Purchasing power of money is computed as:
A. Consumer Price Index / 100
B. 1 / Consumer Price Index
C. National Income / Price Index
D. Wholesale Price Index / Cost of Living Index

Correct Answer: Option B


Explanation:
Purchasing power of money is the reciprocal of the price index; as prices rise, the value of money falls.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Three machines produce 60%, 30%, 10% of items with defect rates 2%, 3%, 4%. If an item is defective, probability it came from the third machine is:
A. 0.04
B. 0.25
C. 0.10
D. 0.16

Correct Answer: Option D


Explanation:
P(D) = 0.6×0.02 + 0.3×0.03 + 0.1×0.04 = 0.012+0.009+0.004=0.025. P(M3|D) = 0.004/0.025 = 0.16.

This question belongs to: Accountancy and Statistics Statistics