All six songs of one artist before the second of another
Question
A -track playlist is shuffled uniformly at random. Four tracks are by DaBaby and six are by Rae Sremmurd. What is the probability that every Rae Sremmurd track plays before the second DaBaby track?
Short answer
. Only the relative order of these ten tracks matters. The condition holds exactly when the last three of the ten are all DaBaby tracks, which has probability .
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Open the worked solutionLessons behind this question
- Sample Spaces, Events, and the Probability Axioms
- Conditional Probability, Total Probability, and Bayes' Rule
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