Shaq Free Throws

Over his career, Shaquille O’Neal made about 53% of his free throws. Assume his probability of making a single free throw is 53%. Suppose Shaq shot a round of 20 free throws and you’re told he made 15 of them.

  1. What is the likelihood he made the first free throw, given that he made 15?
  2. What is the likelihood he made at least 1 out of his first 5 free throws, given that he made 15?

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