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## Sagot :

1.

**Count the total number of balls in the bag:**

- There are 4 red balls, 6 white balls, and 3 green balls.

- To find the total number of balls, add the number of red balls, white balls, and green balls.

[tex]\[ \text{Total number of balls} = 4 + 6 + 3 = 13 \][/tex]

2.

**Determine the number of non-white balls:**

- Non-white balls are those that are either red or green.

- Add the number of red balls and green balls.

[tex]\[ \text{Number of non-white balls} = 4 + 3 = 7 \][/tex]

3.

**Calculate the probability of drawing a non-white ball:**

- The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.

- Here, the favorable outcomes are drawing a non-white ball, and the total number of possible outcomes is drawing any ball.

[tex]\[ \text{Probability of drawing a non-white ball} = \frac{\text{Number of non-white balls}}{\text{Total number of balls}} = \frac{7}{13} \][/tex]

Therefore, the correct answer is:

[tex]\[ \boxed{\frac{7}{13}} \][/tex]

This shows that the probability of drawing a non-white ball from the bag is [tex]\(\frac{7}{13}\)[/tex]. Thus, the correct answer is option B.