If a fair die is rolled twice, the probability that the first roll is a 4 and the second roll is a 5 is: MCQ with Answer and Explanation

If a fair die is rolled twice, the probability that the first roll is a 4 and the second roll is a 5 is:
A. 1/6
B. 1/18
C. 1/36
D. 1/12
Answer: Option C
Solution (By JKSSB Mock Tests)
Independent events: (1/6)×(1/6)=1/36.

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Practice More Statistics Questions

Question #1
The Harmonic Mean of 2 and 4 is:
A. 3.5
B. 2.83
C. 3
D. 2.67

Correct Answer: Option D


Explanation:
HM = 2ab / (a+b) = 2(2)(4) / (2+4) = 16/6 = 2.67.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The geometric mean is most appropriate for averaging:
A. Income levels
B. Price ratios and growth rates
C. Test scores
D. Heights

Correct Answer: Option B


Explanation:
Geometric mean is suitable for averaging ratios and percentage changes because it accounts for compounding.

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Question #3
A bag contains 3 red, 5 black balls. Two balls are drawn at random. The probability that they are of different colors is:
A. 1/2
B. 15/56
C. 15/28
D. 3/8

Correct Answer: Option C


Explanation:
Total ways C(8,2)=28. 1 red 1 black = 3×5=15. Probability=15/28.

This question belongs to: Accountancy and Statistics Statistics