A bag contains nine red marbles, four green marbles, three blue marbles, and two yellow marbles. If Lisa draws a random marble from the bag, what is the probability that it will be a red, green, or blue marble?

only 2 yellow out of 18 marbles.

So, P(~yellow) = 16/18

9P3

To find the probability of drawing a red, green, or blue marble, we need to calculate the number of favorable outcomes (red, green, or blue marbles) and divide it by the total number of possible outcomes (all marbles in the bag).

Number of favorable outcomes (red, green, or blue marbles) = 9 (red marbles) + 4 (green marbles) + 3 (blue marbles) = 16

Total number of possible outcomes (all marbles in the bag) = 9 (red marbles) + 4 (green marbles) + 3 (blue marbles) + 2 (yellow marbles) = 18

Therefore, the probability that Lisa draws a red, green, or blue marble is:

Probability = Number of favorable outcomes / Total number of possible outcomes = 16 / 18 = 8 / 9 ≈ 0.889

So, the probability is approximately 0.889 or 88.9%.

To find the probability of drawing a red, green, or blue marble, we need to determine the total number of marbles that can be drawn and the number of marbles that are either red, green, or blue.

The total number of marbles in the bag is the sum of the red, green, blue, and yellow marbles:
Total number of marbles = 9 (red) + 4 (green) + 3 (blue) + 2 (yellow) = 18.

The number of marbles that are either red, green, or blue is the sum of the red, green, and blue marbles:
Number of marbles that are either red, green, or blue = 9 (red) + 4 (green) + 3 (blue) = 16.

Now we can find the probability by dividing the number of favorable outcomes (drawing a red, green, or blue marble) by the total number of possible outcomes (drawing any marble):
Probability = Number of favorable outcomes / Total number of possible outcomes.

In this case, the number of favorable outcomes is 16 and the total number of possible outcomes is 18:
Probability = 16 / 18 = 8 / 9.

Therefore, the probability that Lisa will draw a red, green, or blue marble is 8/9.