This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
Step 1: Determine the total number of caps in the bag. The bag contains 20 red caps and 10 green caps. Total number of caps = Number of red caps + Number of green caps
Step 2: Calculate the probability of drawing a red cap. The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes. Number of red caps = 20 Total number of caps = 30 Simplify the fraction: The probability of drawing a red cap is .
Step 3: Calculate the probability of drawing a green cap. Number of green caps = 10 Total number of caps = 30 Simplify the fraction: The probability of drawing a green cap is .
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Determine the total number of caps in the bag. The bag contains 20 red caps and 10 green caps.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.