Is the probability of rock-paper-scissors 3 wins in 5 rounds and 2 wins in 3 rounds the same?

Code:

// 1赢 0平 -1输
function win(m, n) {
  if (Math.abs(m - n) === 2) {
    return m < n ? 1 : -1;
  } else {
    return m - n;
  }
}
function play(sum, m, n) {
  var winCount = 0; // 总赢得次数
  for (var i = 0; i < sum; i++) {
    var ogwc = 0; // one game win count
    for (var j = 0; j < m; j++) {
      var a = Math.floor(Math.random() * 3);
      var b = Math.floor(Math.random() * 3);
      var status = win(a,b);
      // console.log(a,b,status);
      if (status === 1) {
        ogwc++;
      } else if (status === 0) { // 平局再来一次
        j--;
      }
      if (ogwc === n) {
        winCount ++;
        break;
      }
    }
  }
  console.log(m + '局' + n + '胜，' + sum + '局，赢了' + winCount + '局，赢率：' + winCount / sum * 100 + '%');
}
play(100000, 1, 1);
play(100000, 3, 2);
play(100000, 5, 3);
play(100000, 7, 4);
play(100000, 11, 6);

//1局1胜，100000局，赢了50116局，赢率：50.11600000000001%
//3局2胜，100000局，赢了50132局，赢率：50.132%
//5局3胜，100000局，赢了50282局，赢率：50.282000000000004%
//7局4胜，100000局，赢了49827局，赢率：49.827%
//11局6胜，100000局，赢了50394局，赢率：50.394000000000005%

The probability of winning is as high