4. [10 pts] 25 participants enter a sushimaking competition! Each of them must make 4 rolls with different proteins: a salmon roll, a tuna roll, a shrimp roll, and a crab roll, for a total of 100 rolls made in the competition. All of the rolls are distinguishable, even if they have the same protein (ex. a salmon roll is distinguishable from all other salmon rolls, as well as all the other rolls with different protein). According to the competition rules, salmon and tuna rolls are always made with white rice, while shrimp and crab rolls are always made with brown rice. The judges select a sushi roll uniformly at random from the 100 rolls. Without putting it back, they select a second roll uniformly at random from the remaining 99 rolls. What is the probability that both of the rolls are made by the same participant, or both have the same protein, or one has white rice and one has brown rice