Adventurous has a positive connotation. It implies a sense of excitement, daring, and willingness to take risks. It suggests a spirit of exploration and a desire to experience new things, often outside of one's comfort zone. Adventurous people are often seen as courageous, open-minded, and curious about the world around them. This connotation carries a sense of freedom, discovery, and embracing challenges, making it a desirable trait in various contexts.