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Bayes' Theorem Worksheet

Worksheet
Grade 12
English

Bayes' Theorem Worksheet

Fill-in-the-Gaps

[Word Bank: conditional, prior, posterior, likelihood, mutually exclusive]
  1. Bayes' theorem allows us to update our _______ beliefs based on new evidence.
  1. The _______ probability represents the probability of the hypothesis after considering the evidence.
  1. The _______ is the probability of observing the evidence given the hypothesis is true.
  1. Probabilities of events that cannot happen at the same time are called _______ events.

Multiple Choice Questions

  1. Which of the following best represents Bayes' theorem for events A and B?
a)

b)

c)

d)

  1. If the probability that a randomly chosen student is left-handed is 0.1, and the probability that a left-handed student is good at math is 0.6, what is the probability that a student is both left-handed and good at math?
a) 0.7
b) 0.06
c) 0.16
d) 0.5

True/False Questions

  1. True or False: Bayes' theorem can only be applied when events are independent.
  1. True or False: The denominator in Bayes' theorem ensures the probabilities sum to 1.