When the Kansas City Chiefs play, you can usually look at their third down conversions and see how they did in the game. In the case of Sunday's game against the Buffalo Bills, the Chiefs going 3-of-13 on third down was pretty indicative of how the game went.
Let's start from the beginning. On first down, the Chiefs had 12 rushing plays and 13 passing plays. On second down, they had six rushing plays and 12 passing plays.
Here's the third down breakdown (yards are combined net):
3rd and 4: two passes, 15 yards, one first down
3rd and 5-7: six passes, -2 yards, one first down
3rd and 8+: five passes, three yards, one first down
Of the Chiefs 13 third downs, they gained a net of 12 yards. Their shortest third down opportunity of the game was a pair of third and fours. That tells you what they did on first and second down.
The best running attack in the NFL last year did not attempt a running play on third down all game. Not one.
At least the only touchdown of the game came on third down.