The format of the Baby Boom event has now changed; so instead of instant win - you snooze, you lose. Everyone gets a ticket for each action, and it picks a random ticket to win after the event ends. (Actually at the next turn occurring after the end of the event. Technical reasons, y'know...)

As long as you get here in time for the event and do at least one thing, you have a chance.

Check your activity log after the next turn following a Baby Boom event to see how many tickets you played and if you won. (This is automatic, you don't need to do anything other than whatever action the event says to do)