The acts in a talent competition consist of 4 instrumentalists, 10 singers, and 8 dancers. If the acts are ordered randomly, what is the probability that a singer performs first? Provide the answer as a simplified fraction.
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The Deep Dive
To determine the probability that a singer performs first, we start with the total number of acts. We have 4 instrumentalists, 10 singers, and 8 dancers, which totals to: 4 + 10 + 8 = 22 acts. Since there are 10 singers, the probability that a singer performs first is the number of singers divided by the total number of acts: Probability = (Number of singers) / (Total number of acts) = 10 / 22. Now, simplifying the fraction: 10 / 22 = 5 / 11. So, the probability that a singer performs first is **5/11**. --- Want to spice up your knowledge? Did you know that talent competitions have been around for centuries, with one of the oldest forms being variety shows in the 19th century? They were hugely popular in vaudeville theaters, showcasing a mix of acts from different performance arts, so our modern competitions are just a fun continuation of that tradition! For those looking to ace their own talent competition, remember to showcase your unique skills while also connecting with the audience. Common mistakes like overthinking your performance or forgetting to engage can be game-changers, so practice that smile and keep your energy high!
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