It is now hard to find a country that does not have a state sponsored lottery – even the remote Himalayan kingdom of Bhutan recently adopted one. They have famously been called a “tax for people who are bad at maths” and make little economic sense for the individuals who play. Instead, lotteries allow governments to raise much needed revenue to be spent on ‘good causes.’ But there is more to lotteries than power-balls and million dollar prizes. Should we embrace them as a way of making life more fair? Presented by Michael Blastland.(Photo: Lottery balls are seen in a box at a Liquor store in San Lorenzo, California. Credit: Getty Images)

Over the past eight months almost a quarter of the Great Barrier Reef has died – according to some estimates – because of coral bleaching, which can happen when sea temperatures rise. It's not the first time coral has bleached. It happened once or twice in the early 20th century after periods of warm weather. But, since the 1980s, coral bleaching has been happening regularly. And this year's Great Barrier Reef ‘bleaching event’ is the longest in history. Some say it signals the beginning of the end for coral reefs. There are though, rays of hope. In this Inquiry you'll hear from scientists who are pioneering some extraordinary ways of trying to help coral withstand warmer seas. They're hoping they're not already too late. Presenter: Helena Merriman(Photo: Australia's Great Barrier Reef, climate change is posing the most serious threat to the extensive coral reef ecosystem. Credit: Getty images)

For millennia human beings worked until they dropped. Then in the late 19th century, Otto von Bismarck started the first state pension in Germany. The idea caught on. By the 20th century, advances in medicine meant that many more people were surviving childhood and living longer and longer into old age. This was great news for those individuals, but not such good news for governments and companies who found themselves having to fund ever-longer retirements. Many of the most generous schemes have now been withdrawn and it’s increasingly up to the individual to save for their retirement – but many aren’t saving enough. Volatile stock markets and low interest rates are making the situation worse. Many think retirement will turn out to be a "blip" in human history; it didn't exist in the past, and it won't exist in the future. So, is retirement over?Our expert witnesses are: Professor Noel Whiteside of the University of Warwick, UK; Thomas B Jankowski, research director at Wayne State University, US; David Blake, director of the Pensions Institute at Cass Business School, London, Andrew Scott, professor of economics at London Business School.Presenter: Ruth Alexander(Photo: Clayton Fackler, 72, works at the check out at a supermarket in Ohio. Credit: J.D. Pooley/Getty Images)

Earlier this month 50 senior Republican national security officials signed a letter arguing that Donald Trump “lacks the character, values and experience” to lead the United States. “We are convinced”, they wrote, “he would be a dangerous president”. We want to know if they are right. Our expert witnesses are: Timothy O’Brien, author of The Art of Being The Donald; Peter Feaman, Florida representative for the Republican National Committee; Daniel Drezner, professor of international politics at Tufts; and Elaine Kamarck from the Brookings Institution, an expert on presidential power and its limits. (Photo: Republican presidential candidate Donald Trump speaks during an event at Trump SoHo Hotel, 2016, New York. Credit: Getty Images)

The Olympic Games has a problem. In recent years the number of cities entering bids to host either the Winter or Summer Olympics has dropped dramatically. For the 2004 Summer Olympics, 12 cities bid. For the 2024 summer Games, there are only four cities running. The 2022 Winter Olympics bidding cycle saw just two cities compete - winners Beijing, China and Almaty, Kazakhstan - after the other five cities that expressed an interest pulled out due to public and political opposition. And in cities that are hosting, the Olympics has been met with hostility. Protesters tried to put out the Olympic torch in Rio, and in Tokyo public outcry at the cost of the stadium for 2020 has led to a complete redesign. Four expert witnesses pin-point exactly what is putting off potential host cities and discuss radical solutions.(Image 'No Boston Olympics' permission from Liam Kerr and Chris Dempsey)

The fighting in Ukraine has fallen off the front pages recently after making headline news in 2014. But Ukrainian forces and Russian-backed separatists are still engaged in a frozen conflict with no military or diplomatic solution in sight. Soldiers, rebels and civilians are dying. It looks good for Russia. Ukraine lacks the military power and international support to take back the East of the country where Russian-backed separatists hold huge swathes of land. And President Putin’s approval ratings at home have soared thanks to his annexation of Crimea in 2014. But does this mean Russia has won in Ukraine?Presenter: Helena Merriman(Photo: Separatist soldiers stand on a military vehicle during a city celebration on September 14, 2014 in Lugansk, Ukraine. Credit to Getty Images)

On 30 June this year, a study was released in one of the world's top scientific journals. It explained how a group of scientists who had been measuring the amount of ozone in the stratosphere had made a startling observation - the hole in the ozone layer had shrunk. Here, they said, was the first, clear evidence that the ozone layer had begun to heal. So how did this happen? It is a story that involves dogged scientific endeavour, the burgeoning green movement of the 1980s and the signing of what has been described as the most successful treaty ever created. (Photo: Severe thinning of Earth's protective ozone layer found over Antarctica, by Nasa scientists. Credit: Getty Images)

After more than 50 years of armed conflict that has left 200,000 dead and millions displaced, Colombia is on the brink of peace. A final deal between the government and the Farc guerrilla movement is expected to be signed soon. Thousands of armed fighters will then lay down their weapons in preparation for reintegration into a society from which they have been estranged for years. But the process will not be easy – for the Farc’s fighters, or for the rest of Colombian society. (Photo: Fighters of the Front 53, a faction of the leftist Revolutionary Armed Forces of Colombia (Farc) guerrilla movement, in Los Alpes, 150km south-east of Bogota. Credit: Getty Images)

“Brexit means Brexit,” says Theresa May, Britain’s new prime minister. It sounds pretty unequivocal: the UK voted in a referendum to leave the European Union, so that’s what it must do. But credible figures from US Secretary of State John Kerry to former prime minister Tony Blair have suggested that Brexit may not actually happen. Is that – legally, politically, democratically – possible? The Inquiry has the answer.Presenter: Maria Margaronis(Photo: Illustration flags of the European Union and the Union flag sit on top of a sand castle on a beach in Southport, United Kingdom. Credit to Getty images)

Donald Trump has shocked the US political establishment by knocking out every other Republican candidate to become his party’s presumptive candidate for President. Does he have a realistic shot of taking the White House? His campaign is short of money and some senior Republicans are refusing to endorse him. Current polls suggest his chances are slim. But his message has found an audience other politicians have failed to reach – he has become a lightning rod for many disaffected Americans. So, our question this week, can Trump win? Presenter: Helena Merriman(Photo: Donald Trump, presidential candidate 2016. Credit: Getty Images)