A student took 60 minutes to complete a 20-questions test. The test featured multiple-choice and free-response problems. The multiple choice problems took her 2 minutes each, and the free response problems took her 3 minutes each. How many of each type of problem was on the test?

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played she found that the restaurant was playing country 11 times rock & roll 17 times and blues 8 times use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time mahnoor walks in.