Woods has played two Opens at Carnoustie, finishing seventh in 1999 and 12th in 2007 which is the last time the Open was held at the course. Follow along to find out.
Woods has won The Open three times - at St Andrews (2000, 2005) and at Royal Liverpool (2006) and 2018 will be his 20th appearance.
Despite the large galleries that were sometimes six- or seven-deep, Woods got off to a sluggish start, hitting only two fairways and two bogeys over the first seven holes. "And I just kind of ran out at the end", he said.
Woods drove an average of 291.5 yards in his opening round at TPC Sawgrass, but recorded driving accuracy of just 35.71 per cent.
Irish golfer Pádraig Harrington sparked the speculation after suggesting the American needs to play more if he is to stand a chance at The Open.
Woods played in last week's Wells Fargo Championship, but finished 14 shots behind victor Jason Day. Woods won seven of those events, Mickelson two, with Tiger holding a 69.66 to 69.88 scoring edge, as per Woods' official site. "And I think Majors would be easier for him to win because they are harder for others to win".
"I knew I was going to drop a shot, but didn't want to shoot an over-par round", Woods said.
As it turned out, had they played a true match-play format, Woods would have closed out Mickelson with a 2-and-1 victory at the 17th - where Mickelson's tee shot found the water.
The Irish Open has already received one major boost after sponsors Dubai Duty Free committed to a four-year extension of its sponsorship deal with an agreement running through to 2022.
He added: "The guys today look back, and they say, come on, how much better could he have been and so forth, and it just goes to show you that they weren't there to witness it". The 14-time major and two-time Players champion then stepped confidently to the island green par-3 17th and stuck a wedge to 10 feet, but could not get the putt to fall.
"I said it Sunday at Wells Fargo, I was anxious about energy this week", Mickelson said.
"I [have] got to drive it a little bit better than I did today and obviously hit the ball closer", he told a media conference.
Mickelson, the 2007 Players champion, rubbished the idea a weird, long sleeve button up which resembled a business shirt had any affect on his play.
However former world No.1 Woods, nonetheless easing his manner again into aggressive golf, mentioned: "No, what my enjoying companions are doing, there's too many guys on the market which might be enjoying very well and going low, and my duty was to go low and shoot one thing within the crimson [under par] at this time".