Comparing 还是 (háishì) and 或者 (huòzhě)

Both 还是 (háishì) and 或者 (huòzhě) mean “or” and they are used to give choices. However, 还是 is usually used in a question, and 或者 is mostly in a statement. 

还是 is often used in an alternative question. The structure is Subject + Verb + Option A + 还是 + Option B?

• 今天晚上你想吃中国饭还是美国饭？Do you want to have Chinese food or American food tonight? 

或者 is used in a declarative sentence.The structure is Subject + Verb + Option A + 或者 + Option B.

• 今天晚上我想吃中国饭或者美国饭。I want to have either Chinese food or American food. 

Please choose 还是 or 或者 for the following sentences

1. 你喜欢蓝色的_______红色的？
2. 他每天坐地铁_______坐公车上班。
3. 你想吃印度菜，意大利菜_______中国菜？
4. 你想喝咖啡_______喝茶？
5. A：你这个周末想去打篮球 _______去踢足球？                  

          B：打篮球 _______ 踢足球都可以。 

Reference:

http://resources.allsetlearning.com/chinese/grammar/Comparing_%22haishi%22_and_%22huozhe%22