Question:  What years did the team that inspired the film Cool Runnings fail to qualify for the Winter Olympics?

Context paragraphs:
1994 Winter Olympics: The 1994 Winter Olympics (Norwegian: "Olympiske vinterleker 1994" ), officially known as the XVII Olympic Winter Games (French: Les "XVIIes Jeux olympiques d'hiver"), was a winter multi-sport event celebrated from 12 to 27 February 1994 in and around Lillehammer, Norway.  Lillehammer failed to win the bid for the 1992 event, losing to Albertville respectively.  Lillehammer was awarded the 1994 Winter Olympics in 1988, after beating Anchorage, United States; Östersund, Sweden; and Sofia, Bulgaria.  Lillehammer is the northernmost city to ever host the Winter Games.  The Games were the first to be held in a different year from the Summer Olympics, the first and only one to be held two years after the previous winter games, and the most recent to be held in a small town.  The Games were the second Winter Olympics hosted in Norway, after the 1952 Winter Olympics in Oslo, and the fourth Olympics in the Nordic countries, after the 1912 Summer Olympics in Stockholm, Sweden, and the 1952 Summer Olympics in Helsinki, Finland.

Australia at the 1952 Winter Olympics: Australia's second Winter Olympic Games appearance was at the 1952 Winter Olympics in Oslo, Norway.  It was 16 years since Australia's last Winter Games, as the 1940 and 1944 Winter Olympics were cancelled, and Australia did not compete in the 1948 Winter Olympics.  Australia sent nine athletes and competed in alpine skiing, cross-country skiing, figure skating and speed skating.  Nancy Hallam and Gweneth Molony were Australia's first women athletes at the Winter Olympics.

Biathlon at the Winter Olympics: Biathlon debuted at the 1960 Winter Olympics in Squaw Valley with the men's 20 km individual event.  At the 1968 Winter Olympics in Grenoble, the men's 4×7.5 km relay debuted, followed by the 10 km sprint event at the 1980 Winter Olympics in Lake Placid, New York.  Beginning at the 1992 Winter Olympics in Albertville, women's biathlon debuted with the 15 km individual, 3×7.5 km relay (4×7.5 km during 1994-2002, and 4×6 km in 2006), and 7.5 km sprint.  A pursuit race (12.5 km for men and 10 km for women) was included at the 2002 Winter Olympics in Salt Lake City.  The top 60 finishers of the sprint race (10 km for men and 7.5 km for women) would qualify for the pursuit event.  The sprint winner starts the race, followed by each successive biathlete at the same time interval he/she trailed the sprint winner in that event.  At the 2006 Winter Olympics in Turin, a mass start (15 km for men and 12.5 km for women) was introduced where the top 30 biathletes from the previous four events were allowed to start together for the competition.

List of Olympic venues in ice hockey: For the Summer and Winter Olympics, there are 46 venues that have been or will be used for ice hockey.  The 46 venues are the most for any Winter Olympic sport.  The first venue ice hockey took place in was indoor during the "Summer" Olympics in 1920.  Twelve years later, ice hockey was held both indoors and outdoors.  The plan was to have two of the twelve matches for those games played indoors, but thawing ice at the outdoor venue for those games forced four of the outdoor games to be moved indoors in 1932.  Despite the success of indoor ice hockey venues at the 1932 Winter Olympics, it would be twenty years before another indoor venue would be used.  Ice hockey would not be indoors entirely until the 1964 Games where they have remained as of the 2010 Winter Olympics.  Both venues for the 2014 Winter Olympics are constructed to be indoors.

George B. Fitch: George Bradley Fitch (February 7, 1948 – December 30, 2014) was a business consultant and Republican politician.  He served four consecutive terms as the mayor of Warrenton, Virginia, for a total of 16 years, before retiring in June 2014.  He ran in the 2005 Republican primary for the governorship of Virginia, a race which he lost to Jerry Kilgore.  Having long had ties to Jamaica, Fitch was one of the co-founders of the Jamaican Bobsled Team for the 1988 Winter Olympics in Calgary.  Determined to achieve what most dismissed as impossible, Fitch's success inspired the Disney film "Cool Runnings".  In 2007 he proposed that his town generate all of its energy from methane released from a nearby landfill.  In 2010 he authored the book "A Pathway To Local Energy Independence".

Canada at the 2010 Winter Olympics: Canada hosted and participated in the 2010 Winter Olympics in Vancouver, British Columbia.  Canada previously hosted the 1976 Summer Olympics in Montreal and the 1988 Winter Olympics in Calgary.  Canada sent a team of 206 athletes (116 men, 90 women), including participants in all 15 sports, and finished with 14 gold medals and 26 in total (ranking 1st and 3rd respectively), surpassing their previous best medal performance at the 2006 Winter Olympics.  The 14 gold medals also set the all-time record for most gold medals at a single Winter Olympics, one more than the previous record of 13 set by the former Soviet Union in 1976 and Norway in 2002.  Canada was the first host nation to win the gold medal count at a Winter Olympics since Norway at the 1952 Winter Olympics.

Hidy and Howdy: Hidy and Howdy were the official mascots of the 1988 Winter Olympics in Calgary, Alberta, Canada.  They were twin polar bears who wore western/cowboy style outfits.  Students of Bishop Carroll High School in Calgary were used as performers during Hidy and Howdy's four years as the mascots of the XVth Olympic Winter Games.  After the Closing Ceremonies, they retired from public life, only ever reappearing once for the filming of the 1993 movie "Cool Runnings" for a brief cameo appearance, since the film is based on the Calgary Olympics.

Jamaica national bobsleigh team: The Jamaican national bobsleigh team represents Jamaica in international bobsledding competitions.  The team first gained fame during their debut in the 1988 Winter Olympic Games in Calgary, Alberta, where they were seen as underdogs as they represented a tropical nation in a winter sport.  The team returned to the Winter Olympics again in 1992, 1994, 1998, 2002, and 2014.  The team failed to qualify for the 2006 and 2010 Winter Olympics.  Led by driver Winston Watts, Jamaica qualified for the 2014 Winter Olympics in the two-man bobsled.

List of Olympic venues in figure skating: For the Summer and Winter Olympics, there are 27 venues that have been or will be used for figure skating.  This is one of two sports in the Winter Olympics to debut in the Summer Olympics with ice hockey being the other.  The first venue for the event took place during the 1908 Games was held indoors.  Twelve years later, the venue joined ice hockey as another Winter Olympic sport in the Summer Olympics.  For the first two Winter Olympics, figure skating was held outdoors.  With figure skating being held outdoors, there were weather concerns with thawing for the first two Winter Games.  A suggestion by International Olympic Committee President Count Henri de Baillet-Latour to 1932 Olympic Organizing Committee President Godfrey Dewey in September 1930 led Dewey to create the first indoor arena for the Winter Olympics.  For the 1936 Games, the venue was covered partially.  Following World War II, the 1948 venue became the first venue to be used twice at the Winter Olympics since it had been used twenty years earlier.  Figure skating's final competition that took place outdoors was in 1956 though that venue has since had a roof added to it.  Since 1960, all figure skating competitions have taken place indoors.  Three National Hockey League (NHL) venues have hosted Olympic figure skating competitions: the 1988 (both venues) and the 2010 though the NHL Vancouver Canucks moved out of the 2010 venue following the 1994–95 season.  The 2002 venue was a National Basketball Association (NBA) venue which meant the Utah Jazz was on a road trip during the 2002 Games.

Cool Runnings: Cool Runnings is a 1993 American comedy sports film directed by Jon Turteltaub and starring Leon, Doug E. Doug, Rawle D. Lewis, Malik Yoba and John Candy.  The film was released in the United States on October 1, 1993.  It was Candy's third to last film of his career and the last of his films to be released during his lifetime.  It is loosely based on the true story of the Jamaica national bobsleigh team's debut in competition during the 1988 Winter Olympics in Calgary, Alberta, Canada.  The film received positive reviews, and the film's soundtrack also became popular with Jimmy Cliff's cover of "I Can See Clearly Now" reaching the top 40 as a single in nations such as Canada, France, and the UK.

Supporting paragraphs: Cool Runnings Jamaica national bobsleigh team
Answer: 2006 and 2010