Plus she was born in 1966, Connect Four came out in 1974. You heard her ask "Like Tic-Tac-Toe?", that's most likely what they played instead.
Also some of ya'll forget, Janet Jackson had a pretty fortunate upbringing.
She was three years old when they moved to Encino, one of the most expensive cities throughout the entire country. Not to mention Michael Jackson had all types of crazy toys, video games, etc. through the years after fame.
Pretty sure she grew up with a lot more pets and toys than your average kid.