Multiple choice

In a bag, we have 3 red and 3 green balls. If 2 balls are drawn from the bag, find the probability that they are of the same colour.

  1. 2/5

  2. 2/6

  3. 3/5

  4. 4/6

  5. None of these
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A Correct answer
Explanation

Total ways to pick 2 balls from 6 is 6C2 = 15. Ways to pick 2 red is 3C2 = 3. Ways to pick 2 green is 3C2 = 3. Total favorable ways = 3 + 3 = 6. Probability = 6/15 = 2/5.

AI explanation

The total number of balls is 6, so the total ways to draw two balls is the combination of 6 taken 2 at a time, which equals 15. The favorable ways are drawing two red or two green balls, calculated as the combination of 3 taken 2 at a time plus the combination of 3 taken 2 at a time, yielding 6. The probability is 6 divided by 15, which simplifies to 2/5.

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