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Conditional Probability. “Given X, what is the probability of Y” Example: You’re picking one person at random from the class. G iven the person in the class is a female, what the the probability he or she is blonde? What statisticians would write: P(Blonde | Female)

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conditional probability
Conditional Probability
  • “Given X, what is the probability of Y”
  • Example: You’re picking one person at random from the class. Given the person in the class is a female, what the the probability he or she is blonde?
  • What statisticians would write: P(Blonde | Female)
    • Tips: your total (n, or the number you divide by is only the girls! Not the whole class)
    • (# of blondes/#of girls)
from your pset
From your pset!
  • Given your cloth is from a hand loom, what is the probability
  • that the quality is poor?
  • Locate Handloom cloth
  • How many total pieces are there made by a hand loom?
  • How many of those are of poor quality?
hints for solving probability word problems
Hints for solving Probability word problems
  • When there is already a table, diagramming a tree is unnecessary
  • Be careful to take the right total (n, denominator)
    • Especially in conditional probabilities!
  • The simplest example of a conditional probability is the blonde | woman example we did above, store that in your head for easy reference, and so you’re not intimidated by the “ | “