To find the probability of drawing a white ball, we need to determine the number of favorable outcomes (white balls) and the total number of possible outcomes (total number of balls).
In this case, there are 6 black balls and 8 white balls, so the total number of balls is 6 + 8 = 14.
The probability of drawing a white ball is the number of favorable outcomes (8 white balls) divided by the total number of possible outcomes (14 balls).
Therefore, the probability of drawing a white ball is 8/14, which simplifies to 4/7.
Hence, the correct answer is option B) 4/7.