Aidan O’Brien’s bid to win the Kentucky Derby ended badly, with Mendelssohn beating zero of 19 rivals on the first Saturday in May. The first Saturday in June is a different story. O’Brien already has won the Epsom Derby six times and has five chances to win number seven in Saturday’s Group 1 race at Epsom Downs. Easily O’Brien’s best chance on paper is Saxon Warrior, who – to continue the numbers game – took a hit at the post position draw when he landed stall 1. Epsom is a quirky left-handed track, but the unusual configuration of the 1 1/2-mile Derby – Tattenham Corner being its most famous bend – starts the horses off around a right-handed turn, which can lead to positional difficultly for horses drawn inside. Worth noting is that O’Brien’s 2017 Epsom Derby winner, Wings of Eagles, was something like his fifth-stringer in the race. With that in mind, O’Brien’s other four are Delano Roosevelt, The Pentagon, Kew Gardens, and Zabriskie. The last named is 80-1 in early betting and will be ridden by Padraig Beggy, last year’s shock hero on Wings of Eagles. Saxon Warrior was an odds-on early Derby favorite before the draw, and while he was a smart winner of the English 2000 Guineas last out in his 3-year-old debut, that one-mile race was widely assumed to fall short of Saxon Warrior’s ideal trip. Saxon Warrior, by the Japanese stallion Deep Impact and out of the Galileo mare Maybe, won his three starts last year, capping his 2-year-old campaign with a neck victory in the Group 1 Racing Post Trophy Stakes over a straight mile. Saxon Warrior has size and scope and still is developing into his frame, but there’s a good chance – poor draw or not – he’s up to the challenge Saturday.Roaring Lion was just a neck behind Saxon Warrior in the Racing Post Trophy, and after two substandard runs to start his 3-year-old campaign, got back to form romping in the Group 2 Dante Stakes over 1 5/16 miles going left-handed at York. Trainer John Gosden won the 2015 Derby with Golden Horn. Winner of the 2016 Derby was Harzand, whose trainer, Dermot Weld, has Hazapour for Saturday’s edition. Hazapour, by Shamardal, got in three races as a 2-year-old, beat Delano Roosevelt in a Leopardstown trial race his only start this year, and is an interesting alternative to the favorite.Young Rascal, winner of the Chester Vase in his most recent start, is the other horse getting some early play, with the others all 20-1 or higher. The Epsom course on Thursday was upgraded from soft to good-to-soft. The Derby is carded as race 4, post time schedule for 11:30 a.m. Eastern.