Generated with Monsha
Generated with Monsha
Save this resource to edit, expand, or export it, or create more resources for free.
Bayes' Theorem Worksheet
Worksheet · Grade 12 · English
Bayes' Theorem Worksheet
Worksheet
Grade 12
English
Bayes' Theorem Worksheet
Fill-in-the-Gaps
[Word Bank: conditional, prior, posterior, likelihood, mutually exclusive]
- Bayes' theorem allows us to update our _______ beliefs based on new evidence.
- The _______ probability represents the probability of the hypothesis after considering the evidence.
- The _______ is the probability of observing the evidence given the hypothesis is true.
- Probabilities of events that cannot happen at the same time are called _______ events.
Multiple Choice Questions
- Which of the following best represents Bayes' theorem for events A and B?
a)
b)
c)
d)
- 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
- True or False: Bayes' theorem can only be applied when events are independent.
- True or False: The denominator in Bayes' theorem ensures the probabilities sum to 1.