Three friends, Alice, Bob and Carol, have the following individual preferences over the food they usually get: Chinese, Indian and Italian.
Alice Bob Carol
Most preferred Chinese Italian Indian
Indian Chinese Chinese
Least preferred Italian Indian Italian
Jointly, they agree to determine their group preference as follows: Cuisine A is preferred to B if A gets the majority of votes against B in a two-alternative vote.
A. What is the group's preference over Chinese and Indian food?