Multiple choice

A bag contains five white and four red balls. Two balls are picked at random from the bag. What is the probability that they both are different color?

  1. 4/9

  2. 5/9

  3. 7/9

  4. 8/9

  5. 1/3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total balls = 9. Ways to pick 2 balls = 9C2 = 36. Ways to pick different colors (1 white, 1 red) = 5C1 * 4C1 = 20. Probability = 20/36 = 5/9.

AI explanation

The bag contains 9 total balls, so the number of ways to pick any 2 balls is 9C2, which equals 36. To get two different colors, you must pick one white and one red, calculated as (5C1 multiplied by 4C1), giving 20 favorable outcomes. Using the classical probability formula, the probability is 20 divided by 36, which simplifies to 5/9.

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