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Detectives, I just got a tip that Loud Louie and the Bad Vibes Band are coming into town tonight. The Bad Vibes Band travels to different towns, playing loud, noisy music in the middle of the night. Once they start up their scary sound, it's impossible for anyone in town to get any sleep! I need your help catching Loud Louie, but first, there are a few things you should know about this clever bandleader:  
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Solve the Mystery
All right, super sleuths, if you can help me catch Loud Louie playing the accordion this evening, you could save this town from many sleepless nights! What is the probability that Loud Louie will play the accordion with the Bad Vibes Band tonight? Probability means the chance that an event will take place. Another way to look at it is: What is the chance that something in particular is going to happen out of all the possible things that could happen? For example, a spinner has 6 sections; 3 of the sections are green. You want the spinner to land on green. The probability that the spinner will land on green is 3 out of 6, or 3/6. Reduce that probability to its lowest terms, which is 1/2. In other words, the spinner will probably land on green 1 out of 2 times. To find the probability that Loud Louie will play on the first night, first figure out the total number of nights the band will be in town, or the number of nights it will take for the band to play every combination of instruments. (Detectives, you might want to make a list to help keep track of the combinations.) Then figure out the total number of nights Loud Louie plays the accordion with the Bad Vibes Band. The probability that Loud Louie will play tonight is the number of nights that Loud Louie plays the accordion out of the total number of nights that the Bad Vibes Band will play in town. Help me stop the Bad Vibes Band! What is the probability that Loud Louie will play his accordion tonight? (Here's a Math Maven Hint: Reduce the probability to a fraction in its lowest terms.)
