Allied & ICAR Exam Bank • ALLIED_2353 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A bag contains 6 black and 4 white balls. Two balls are drawn at random one after another without replacement. The probability that both balls are of the same color is:

Options:

  • (A) 7/15
  • (B) 8/15
  • (C) 1/2
  • (D) 2/5

Answer Key:

A

Step-by-Step Solution & Explanation

Both black = $\frac{6}{10} \times \frac{5}{9} = \frac{30}{90}$. Both white = $\frac{4}{10} \times \frac{3}{9} = \frac{12}{90}$. Total = $\frac{42}{90} = \frac{7}{15}$.
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