A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red? MCQ with Answer and Explanation

A bag contains 3 red and 4 black balls. If two balls are drawn at random without replacement, what is the probability that both are red?
A. 2/7
B. 1/7
C. 3/14
D. 9/49
Answer: Option B
Solution (By JKSSB Mock Tests)
P(Both Red) = (3/7) × (2/6) = 6/42 = 1/7.

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Practice More Statistics Questions

Question #1
Consider the following statements: 1. Weighted mean considers the relative importance of different items. 2. Combined mean depends on group sizes and group means. 3. Arithmetic mean is always the best measure for skewed data. Which is/are correct?
A. 1 and 2 only
B. 1 and 3 only
C. 2 and 3 only
D. 1, 2 and 3

Correct Answer: Option A


Explanation:
Statement 3 is false because median is preferred for skewed data. 1 and 2 are true.

This question belongs to: Accountancy and Statistics Statistics
Question #2
Geometric mean is most appropriate for averaging:
A. Test scores
B. Growth rates or ratios
C. Categorical data
D. Data with negative values

Correct Answer: Option B


Explanation:
Geometric mean correctly averages multiplicative processes (e.g., compound growth rates) by taking the nth root of the product, avoiding bias from arithmetic mean in ratio contexts.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The sum of deviations from the mean is always zero because:
A. All deviations are equal
B. Positive and negative deviations cancel out
C. Data are symmetric
D. Mean is the midpoint

Correct Answer: Option B


Explanation:
Σ (x - x̄) = 0 is an algebraic property.

This question belongs to: Accountancy and Statistics Statistics