In a new book, the mathematical epidemiologist Adam Kucharski explains how certainty, even in math, can be an illusion.

That brings to an end our live updates from the 12th day of Egypt's political stand-off. You can continue to follow events with regular updates on the BBC news website throughout the night. Thank you ...

The star is ready to sign a new deal at Anfield in a surprise development, though the move will frustrate one confirmed ...