A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is: MCQ with Answer and Explanation

A bag contains 3 red and 2 blue balls. Two balls are drawn at random without replacement. The probability that both are red is:
A. 9/25
B. 3/10
C. 3/5
D. 1/2
Answer: Option B
Solution (By JKSSB Mock Tests)
P(both red) = (3/5) × (2/4) = 6/20 = 3/10. Without replacement, the probability changes after the first draw, requiring multiplication of conditional probabilities.

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Practice More Statistics Questions

Question #1
For a given data, Σp₁q₀ = 600, Σp₀q₀ = 500, Σp₁q₁ = 700, Σp₀q₁ = 600. The value index is:
A. 120
B. 116.67
C. 125
D. 140

Correct Answer: Option D


Explanation:
Value index = (Σp₁q₁ / Σp₀q₀) × 100 = 700/500 × 100 = 140.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Which measure of mortality is most sensitive to health conditions of newborns?
A. Infant Mortality Rate
B. Life expectancy
C. Crude Death Rate
D. Maternal Mortality Ratio

Correct Answer: Option A


Explanation:
IMR reflects the health environment in the first year of life and is a sensitive indicator of child health.

This question belongs to: Accountancy and Statistics Statistics
Question #3
If class intervals are inclusive, before plotting a histogram we must:
A. Use cumulative frequencies
B. Convert them to exclusive by adjusting boundaries
C. Change class width
D. Plot directly

Correct Answer: Option B


Explanation:
Inclusive intervals have gaps; adjusting by half of the gap makes them continuous.

This question belongs to: Accountancy and Statistics Statistics