How to Use "serendipitous" with Example Sentences

1. Could data mining soon replace serendipitous observational discovery ?
2. Some transfers are more serendipitous .
3. Along the way , we learned that sometimes the only way around a barrier is a serendipitous discovery .
4. This realization really came as a result of a serendipitous and spontaneous question that popped in my mind a month ago or so .
5. Did you really want to share your serendipitous discoveries , your likes and your dislikes , with the arguably dysfunctional ebay ?