1) Bayesian Theorem was named after its inventor. Who invented the Bayesian theorem?
- Reverend Thomas Bayes
- Stuart Bayes Hamilton
- Bayes Canney
- None of the above.
Correct answer: 1
Reverend Thomas Bayes
Bayes’ theorem was given by Reverend Thomas Bayes and thus named after him.
2) Among which of the following mentioned statements can the Bayesian probability be applied?
- In the cases, where we have one event
- In the cases, where we have two events
- In the cases, where we have three events
- In the cases, where we have more than three events
Options:
- Only iv.
- All i., ii., iii. and iv.
- ii. and iv.
- Only ii.
Correct answer: 4
Only ii.
Bayes' Theorem is applicable only in those experiments where we have only two events. It does not apply to the cases where the number of events is more than two.
3) On which of the mentioned points is the Bayesian theorem reasonable to apply?
- Dependent Events
- Independent Events
- Neither a. nor b.
- Both a. and b.
Correct answer: 1
Dependent Events
The Bayesian theorem is used to find the conditional probability. As the Conditional Probability has no effect or relevance on the independent events and is relevant only for dependent events, the Bayesian theorem also applies for the same.
4) The results that we get after we apply Bayesian Theorem to a problem are,
- 100% accurate
- Estimated values
- Wrong values
- None of the above
Correct answer: 2
Estimated values
Like all other probabilistic theory methods like conditional probability, the Bayesian theorem also helps us to derive an estimate about how much an event is likely to occur or happen.
5) State whether the following condition is true or false?
"In Bayesian theorem, it is important to find the probability of both the events occurring simultaneously."
- True
- False
Correct answer: 2
False
It should be noted that in the Bayesian equation, we need not find the probability of both the events occurring simultaneously, i.e. P(A^B). We can calculate the same using the below Bayesian equation,
