(Original post by Super Cicero)
I presume you meant that other way round - France had Morocco, and Britain had Egypt?
Very interesting question.
The UK itself would be safe from French attack due to the overwhelming superiority at sea of the Royal Navy. However, the British Empire had two main areas where its interests clashed with France and Russia - Africa and Central Asia. Britain would likely try to seize control of many French colonies in Africa, while sending troops to Afghanistan to prevent a Russian invasion of India.
Meanwhile, in Europe, an Anglo-German alliance would be formed, since Germany's main enemies were France and Russia, and now would be the perfect time to launch a pre-emptive attack. Based on the same thinking that in reality led to the formation of the Schleiffen Plan, the Germans would likely launch an attack on France. Under British pressure, Belgium would agree to give passage to German troops in exchange for guarantees that it would not lose territory to Germany at the end of the war. Germany would seek to defeat France quickly before Russia had time to bring its troops westwards from Far-East Siberia back to European Russia.
In reality, Russia sent its Baltic Fleet around the world to fight the Japanese, but if they tried to do this in our scenario (unlikely due to German threat), then it would be decimated by the Royal Navy along the way.
Austria-Hungary would likely ally with Germany and Britain, and the Ottoman Empire would too (due to historical hatred between Turkey and Russia). With German troops advancing into France, Paris would likely fall, because there would be no British troops helping the French as there were in real life's WW1. The Germans (with help from Austrians), then move most of their troops eastwards to fight Russia. Russia will basically then be ****ed, because it will have the British advancing into Central Asia, the Japanese fighting it in the Far East, the Germans and Austrians advancing into the western parts of European Russian Empire (i.e. Poland, Baltics, Ukraine, Belarus), and the Ottomans cutting off supplies getting in through the Black Sea - and likely attacking Russia through the Caucasus.
The 1905 revolution that happened in reality would succeed, and either the Bolsheviks or Mensheviks would attempt to seize power, but if they succeeded then the Imperialist forces of UK/Japan/Germany/Austria would probably help White forces crush the Reds, and a puppet Russian rump state which loses most of Eastern Europe to Germany, most of Central Asia to Britain and parts of the Far East to Japan, would be set up. In mainland Europe, there is German hegonomy, while Britain gains all of France's colonies and remains the dominant world naval power.