Question

A pot contains 5 red and 2 green balls. A ball is drawn at random from this pot. If a drawn ball is green, then a red ball is added to the pot. If a drawn ball is red, then a green ball is added to the pot, while the original ball drawn is not replaced in the pot. Now a second ball is drawn at random from the pot, what is the probability that the second ball drawn is a red ball?

• A. \( \frac{12}{49} \)
• B. \( \frac{32}{49} \)
• C. \( \frac{3}{7} \)
• D. \( \frac{27}{49} \)

Hint:

In conditional probability problems, always split into cases and apply total probability lawCarefully track how composition changes after each event.

Answer 1

The Correct Option is B