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

Which of the following pairs of events are mutually exclusive?
A. Getting a 3 and an odd number on a die
B. Getting a head and a tail on a single coin toss
C. Getting an even number and a prime number on a die
D. Drawing a heart and a queen in one card draw
Answer: Option B
Solution (By JKSSB Mock Tests)
A single toss cannot result in both head and tail; they are mutually exclusive.

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Practice More Statistics Questions

Question #1
General Fertility Rate (GFR) is the number of live births per:
A. 1000 women of reproductive age (15-49)
B. 1000 live births
C. 1000 married women
D. 1000 total population

Correct Answer: Option A


Explanation:
GFR = (Live births / Women aged 15-49) × 1000, focusing on the population at risk.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Two dice are rolled. The probability of getting a doublet is:
A. 1/6
B. 1/36
C. 1/12
D. 1/3

Correct Answer: Option A


Explanation:
Doublets are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6). Total 6 outcomes out of 36. Prob = 6/36 = 1/6.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Which index number formula satisfies both time reversal and factor reversal tests?
A. Laspeyres index
B. Paasche index
C. Fisher's ideal index
D. Simple aggregative index

Correct Answer: Option C


Explanation:
Fisher's ideal index, being the geometric mean of Laspeyres and Paasche indices, is the only common formula that satisfies both time reversal and factor reversal tests, ensuring mathematical consistency.

This question belongs to: Accountancy and Statistics Statistics