Do you like playing soccer or playing basketball? Er, I don't know.
这句翻译成你喜欢踢足球或者打篮球?这里是选择疑问句。
还是你喜欢打篮球和踢足球吗?这里是 or 用在疑问句里跟 and 的意思一样。
Do you like playing soccer or playing basketball? Er, I don't know.
这句应该翻译成:“你喜欢踢足球或者打篮球?”这里的“Do you like playing soccer or playing basketball?”是选择疑问句。or 连接的是两个宾语:playing soccer 和playing basketball。又如:Do you want tea or coffee ? 你要茶还是咖啡?(摘自北京语言大学出版社出版的《新编英语句型句法全解》p.207)
“你喜欢踢足球和打篮球吗?”应该是:Do you like playing soccer and playing basketball?