Probability of Drawing One Red and One Blue Ball: Solved Example

Step-by-Step Solution

Total balls: 2 red + 4 blue = 6 balls.

Total ways to draw 2 balls from 6: (6 2) = 15.

Favorable outcomes (1 red and 1 blue): (2 1) × (4 1) = 2 × 4 = 8.

Probability: 8/15.

So, the correct answer is b. 8/15.

Explanation of Each Option

• a. 2/5: Incorrect, as it does not match the calculated probability.
• b. 8/15: Correct, as shown in the calculation above.
• c. 1/15: Incorrect, as it is much smaller than the actual probability.
• d. None of the above: Incorrect, since option b is correct.

Introduction

Understanding probability with colored balls is a fundamental concept in mathematics. This article explains how to find the probability of drawing one red and one blue ball from a box containing 2 red and 4 blue balls, with a clear step-by-step solution.

Detailed Solution

• Total balls: 6 (2 red, 4 blue)
• Ways to draw 2 balls: (6 2) = 15
• Favorable outcomes: (2 1) × (4 1) = 8
• Probability: 8/15

Conclusion

The probability of drawing one red and one blue ball is 8/15. This example helps clarify probability calculations for different colored balls, which is useful for exams and real-life applications.

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