The U.S. dollar sank to a three-month low on Tuesday, as investors continued to take the view that growth in the world's largest economy is starting to slow down after an aggressive tightening cycle since March last year. That slowdown should prompt the Federal Reserve to begin easing some time next year. U.S. rate futures were pricing in a 23% chance of a rate cut in March, rising to a roughly 50% probability in May, according to the CME's FedWatch tool.