A container holds 8 red and 4 white balls. Two balls are drawn in sequence without replacement from the container. Which of the following represents the probability that exactly one of these balls is red?
A. 16/33
B. 32/132
C. 12/32
D. 56/132
E. 32/144
This is how I approached it. 8red+4white = 12total. Probability of picking 1red = 8/12. Probability of picking 1white (i.e., not red) = 4/11 (because there's 4 white balls and 11 balls left total since 1 red one was already picked).
Then, I multiplied. (8/12) x (4/11) = 8/33. The answer, however, is A, 16/33. I'm stumped.
A. 16/33
B. 32/132
C. 12/32
D. 56/132
E. 32/144
This is how I approached it. 8red+4white = 12total. Probability of picking 1red = 8/12. Probability of picking 1white (i.e., not red) = 4/11 (because there's 4 white balls and 11 balls left total since 1 red one was already picked).
Then, I multiplied. (8/12) x (4/11) = 8/33. The answer, however, is A, 16/33. I'm stumped.