Multiple choice

A bag contains 5 red and 7 green balls. Two balls are drawn from the bag at random with replacement. The probability of drawing a red and a green ball in succession is

  1. 14/22

  2. 35/144

  3. 49/144

  4. 7/22
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B Correct answer
Explanation

Probability of red = 5/12, green = 7/12. With replacement, the probability of red then green is (5/12) * (7/12) = 35/144.

AI explanation

Since the balls are drawn with replacement, the total number of balls remains 12 for both draws. The probability of drawing a red ball first and a green ball second is (5/12) * (7/12) = 35/144. Because the draws are independent and the order does not matter, this result is the final probability.

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