1. Of 1400 students at Brown High School, 800 attended the first school dance of the year. Only 500 attended the next dance, and 300 attended both dances. A student is randomly selected. What is the probability that the student attended the first dance or the second dance? Express your answer as a decimal to the nearest hundredth.

2. The Swiss embassy in Ottawa has 62 employees. Of these workers, 42 speak German, 33 speak Italian, and 22 speak both German and Italian.

A. Draw a venn diagram of the situation above

B. As a decimal to the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker not speaking German or Italian?

c. As a decimal to the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker speaking German or Italian?

d. As a decimal to the nearest hundredth, if an embassy worker is randomly selected, what is the probability of the worker speaking only German?

A bag contains 5 red marbles, 5 white marbles, and 5 blue marbles. A single marble is chosen at random. Let A and B represent the following events: A: "a red marble is drawn" B: "a white marble is drawn"

a. Are the events mutually exclusive? Explain why or why not?

b. Determine P ( A and B ).

c. Determine P ( A or B )