“That’s what I saw,’’ Belichick said yesterday. “And [defensive line coach] Pepper [ Johnson] was standing right there. And we both looked at each other and said, ‘That ball’s out.’ ’’

Belichick did not wait to confer with the booth. He tossed the red challenge flag. But the official who viewed the replay did not agree with Belichick’s view of the play, and the Patriots lost a timeout and their final challenge.

The play typified Belichick’s luck this season with replay challenge. He is 1 for 5 this year when throwing the challenge flag after he went 0 for 2 Sunday in the Patriots’ 31-14 victory over the Jets.

The Patriots have not successfully challenged a play since Week 2 against the Jets, when Belichick’s challenge overturned a touchdown pass from Mark Sanchez to Chansi Stuckey into an incompletion. (The Jets eventually kicked a field goal.)

Sunday illustrated Belichick’s philosophy toward challenges. He throws the flag based not only on the chance a given play will be overturned, but also on the potential impact of a challenge. The first challenge tried to reverse a fumble by Laurence Maroney in Jets territory. The second tried to give the Patriots the ball deep in Jets territory.

“Both of those plays were turnovers,’’ Belichick said. “Those were the kind of plays that change a game. If you feel like you’ve got a shot at it, or even I’d say if it’s a little less than a 50-50, those are the kinds of plays that I would challenge. If I was sure it wasn’t going to get turned over, then there’s no point in doing it. But if you feel like you’ve got a shot at it . . .’’

The challenge on the kickoff was different in that Belichick said he rarely sees the play clearly enough from the sideline to feel confident in a challenge without hearing from the booth. But his spot on the sideline, he felt, gave him a unique look.

“I’m sure there wasn’t a camera at the angle we were looking at, which was right down the sideline,’’ Belichick said. “Maybe our angle was different than the angle that their TV cameras had. I’m not saying they were wrong. I’m just saying I saw the play and I thought the ball was out. I didn’t think it was down, so that’s why I challenged it.’’

Belichick studies the smallest details of challenging plays. For example, he knew that Jeff Triplette, Sunday’s crew chief, is stingier with reversing calls than the average referee.

Although the Patriots have challenged only five plays this season, Belichick said he believes in using the two challenges afforded a coach. The Patriots played the entire second half Sunday without the option of a challenge.

“That’s the least of my concerns,’’ Bodden said. “I came here on a one-year deal because I felt like that was the best situation, and the organization felt like that. I wanted to prove that I’m still a good player, a good, top corner in the league. It just wasn’t shown with Detroit because of the success that we didn’t have.

“I’m playing well. I just have to finish the season off good, hopefully the playoffs and the Super Bowl. Just play to the best of my ability until the last game. That’s all I’m really worried about. I’m not worried about any contract or anything like that.’’

Bodden’s outlook stems from his career path. Since he entered the league, he has played 85 regular-season games and no playoff games. Last year, he went 0-16 with the Lions. Having landed with one of the league’s title contenders, Bodden is finally in a winning situation.

Sunday, he helped contribute. Bodden explained that all three of his interceptions came when he was playing man-to-man coverage. From his years with the Browns, he said he prefers that style of coverage.

With 30 seconds left, the Patriots led by 17 points and faced third and 6 from their 45. Had they run the ball, the Jets might have allowed the clock to run out, and the game would have ended. Instead, the Patriots gave the Jets something to think about until the rivals meet again.

Tom Brady dropped back and heaved a deep pass down the sideline to Randy Moss, who was blanketed by Darrelle Revis. After Revis and Moss debated whether Revis had help covering Moss when he shut him down in Week 2, the play seemed to carry purpose.

Revis, as he had all game, won the matchup as the pass fell incomplete. Moss caught five of the 11 passes thrown his way, including a play on which Revis drew a blatant offensive pass interference penalty.

Once the final pass fell incomplete, the Patriots punted. With five seconds left, the Jets called timeout.

At his news conference yesterday, Jets coach Rex Ryan was asked his thoughts on the attempted pass. He used the question to again promote Revis and to compliment Wes Welker.

“I looked at that as an opportunity for us,’’ Ryan said. “Throw it up deep. Our guy is going to come down with it more than your guy is. If they want to throw it up to Revis, that’s great. If they would have thrown it up to Welker again, I would have had a problem with it.’’

Ryan then was asked if he felt the play was disrespectful.

“Yes, but that’s why I called the timeout at the end of the game, [to] give our team another chance,’’ he said. “It was surprising. Again, things happen. Belichick, I don’t even know how much he had to do with it more than that might have been something that Brady or Moss wanted to do. We need to stop them anyway, so it’s no biggie, but I was surprised. I did feel a little bit disrespected.’’

Their only healthy tackle was Mark LeVoir, and they dressed seven offensive lineman, as is standard. Eventually, Kaczur missed no time after limping into the locker room, and Vollmer returned from a head injury to play in the second half. But what if the Patriots had lost Kaczur and Vollmer?

“We would have taken five linemen and put them in there,’’ Belichick said. “And then next contingency is you would have had to put a tight end in [at] tackle. It’s not where you want to be, but I’d say the way the roster is every week just about every team has seven offensive linemen active, occasionally eight, but it’s usually seven. It’s two [backups] for five spots. You would like to have more than that but you get caught somewhere else if you keep extra guys there.’’

The attrition forced rookie Rich Ohrnberger into a game for the first time in his career. “He got his letter,’’ Belichick said.

Albert R. Breer of the Globe Staff contributed to this report.