A bag contains 4 blue marbles, 2 black marbles, and 3 red marbles. If a marble is randomly drawn from the bag, what is probability that it is not black?

1/2
2/9
5/9
7/9
14/19

since 2 of the 9 marbles are black,

p(~black) = 1-p(black) = 1-2/9 = 7/9

To find the probability that a marble drawn from the bag is not black, we need to calculate the number of marbles that are not black and divide it by the total number of marbles in the bag.

In this case, there are 4 blue marbles, 2 black marbles, and 3 red marbles in the bag. Therefore, the total number of marbles is 4 + 2 + 3 = 9.

To find the number of marbles that are not black, we subtract the number of black marbles (2) from the total number of marbles (9). So, there are 9 - 2 = 7 marbles that are not black.

The probability of drawing a marble that is not black is given by the number of marbles that are not black (7) divided by the total number of marbles (9).

Therefore, the probability is 7/9.

The correct answer is 7/9.