120120 students in a fifth grade class are surveyed about what kinds of pets they have. Of the 120120120 students, 303030 have a goldfish, 404040 have a mouse, and 101010 have a goldfish and a mouse. Using this information, answer each of the following questions.
Let GGG be the event that a randomly selected student has a goldfish and MMM be the event that a randomly selected student has a mouse.
What is P(G)P(G)P, left parenthesis, G, right parenthesis, the probability that a student in the class has a goldfish?
What is P(M)P(M)P, left parenthesis, M, right parenthesis, the probability that a student in the class has a mouse?
What is P(G\text{ and }M)P(G and M)P, left parenthesis, G, start text, space, a, n, d, space, end text, M, right parenthesis, the probability that a student in the class has a goldfish and a mouse?
What is P(G\text{ or }M)P(G or M)P, left parenthesis, G, start text, space, o, r, space, end text, M, right parenthesis, the probability that a student in the class has a goldfish or a mouse?