$25$ students in a high school health class are asked to write down their two favorite foods. Of the $25$ students, $14$ write that one of their favorite foods is steak, $6$ write that one of their favorite foods is chicken, and $5$ write that steak *and* chicken are their two favorite foods. Using this information, answer each of the following questions.
Let $S$ be the event that a randomly selected student's favorite foods include steak and $C$ be the event that a randomly selected student's favorite foods include chicken.
**What is $P(S)$, the probability that a student writes steak?** [[☃ input-number 1]]
**What is $P(C)$, the probability that a student writes chicken?** [[☃ input-number 2]]
**What is $P(S\text{ and }C)$, the probability that a student writes steak *and* chicken?** [[☃ input-number 3]]
**What is $P(S\text{ or }C)$, the probability that a student writes steak or chicken?** [[☃ input-number 4]]