Let's denote the total number of participants as \( P \), the number of "red" world participants as \( R \), and the number of "blue" world participants as \( B \). According to the given ratio, \( R:B = 10:5 \), which simplifies to \( R:B = 2:1 \). This means that for every 3 participants, 2 are from the "red" world and 1 is from the "blue" world.

Let's denote the fraction of "red" world participants who are left-handed as \( f \), and we know that \( \frac{2}{3} \) of "blue" world participants are left-handed.

The total number of left-handed participants is the sum of left-handed "red" world participants and left-handed "blue" world participants. So, we can write the following equation:

\[ \frac{2}{3}B + fR = 0.4422222222222222P \]

Since \( R = 2B \), we can substitute \( R \) with \( 2B \) in the equation:

\[ \frac{2}{3}B + f(2B) = 0.4422222222222222P \]

We also know that \( R + B = P \), and since \( R = 2B \), we have \( 2B + B = P \), which simplifies to \( 3B = P \).

Now we can substitute \( P \) with \( 3B \) in the equation:

\[ \frac{2}{3}B + f(2B) = 0.4422222222222222(3B) \]

Simplify the equation:

\[ \frac{2}{3}B + 2fB = 1.3266666666666666B \]

Divide both sides by \( B \) to get rid of \( B \):

\[ \frac{2}{3} + 2f = 1.3266666666666666 \]

Now, solve for \( f \):

\[ 2f = 1.3266666666666666 - \frac{2}{3} \]

\[ 2f = 1.3266666666666666 - 0.6666666666666666 \]

\[ 2f = 0.66 \]

\[ f = \frac{0.66}{2} \]

\[ f = 0.33 \]

So, the fraction of "red" world participants who are left-handed is \( 0.33 \) or \( \frac{1}{3} \).
전체 참가자 수를 \( P \), "빨간색" 세계 참가자 수를 \( R \), "파란색" 세계 참가자 수를 \( B \), 라고 표시합니다. 주어진 비율에 따라 \( R:B = 10:5 \), 이 비율은 \( R:B = 2:1 \), 로 단순화됩니다. 즉, 3명의 참가자 중 2명은 "빨간색" 세계 참가자이고 1명은 "파란색" 세계 참가자입니다.

왼손잡이인 "빨간색" 세계 참가자의 비율을 \( f \), "파란색" 세계 참가자의 \( \frac{2}{3} \), 라고 표시하고, "파란색" 세계 참가자의 \( \frac{2}{3} \), 는 왼손잡이임을 알 수 있습니다.

왼손잡이 참가자의 총 수는 왼손잡이 "빨간색" 세계 참가자와 왼손잡이 "파란색" 세계 참가자의 합입니다. 따라서 다음 방정식을 쓸 수 있습니다:

\[ \frac{2}{3}B + fR = 0.4422222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222