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The question is in Indonesian and translates to:

"From a box containing 5 red balls and 5 white balls, 2 balls are drawn simultaneously. If the drawing is done 180 times with replacement, what is the expected frequency of drawing balls of different colors?"

Let's break this down:

1. **Total balls**: 5 red + 5 white = 10 balls.
2. **Favorable outcome**: Drawing one red and one white ball (since the question asks for different colors).

### Probability of drawing different-colored balls:
When you draw two balls, there are two possibilities for drawing balls of different colors:
- One red and one white (and vice versa since order doesn't matter).

The total number of ways to choose 2 balls from 10 is:

\[
\binom{10}{2} = \frac{10 \times 9}{2} = 45
\]

The number of favorable outcomes (one red, one white) is:

\[
\text{Favorable ways} = 5 \times 5 = 25
\]

Thus, the probability \( P \) of drawing two balls of different colors is:

\[
P = \frac{25}{45} = \frac{5}{9}
\]

### Expected frequency:
If the process is repeated 180 times, the expected frequency of drawing two balls of different colors is:

\[
\text{Expected frequency} = \frac{5}{9} \times 180 = 100 \text{ times}
\]

This confirms the answer provided in the question.

Let me know if you need further details! Here are 5 related questions for practice:
1. How do you calculate the probability of drawing two red balls instead of different-colored balls?
2. What would be the expected frequency if there were 6 red balls and 4 white balls?
3. How does the total number of trials affect the expected frequency?
4. Can this problem be solved without replacement? How would the probability change?
5. How can the concept of combinations be applied to similar problems?

**Tip**: The expected value in probability can be calculated by multiplying the probability of an event by the number of trials!

From a box containing 5 red balls and 5 white balls, 2 balls are drawn simultaneously. If the drawing is done 180 times with replacement, what is the expected frequency of drawing balls of different colors?

Learn how to calculate the expected frequency of drawing balls of different colors from a box containing 5 red and 5 white balls. This problem involves calculating probabilities using combinations and expected values over 180 trials.

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