Computer scienceData scienceMachine learningClassification

Naive Bayes classifier

Joint probability

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Is it possible to use Bayes classifier (not Naive Bayes) to determine a label for the new observation $P(\text{Precipitation = No, Temperature = 0-5 °C, Wind = Breeze})$ given the data below?

Day	Precipitation	Temperature	Wind	Snowboarding
1	No	5-10 °C	Calm	No
2	No	5-10 °C	Breeze	No
3	No	0-5 °C	Calm	Yes
4	Rain	0-5 °C	Calm	No
5	Snow	-10-0 °C	Calm	Yes
6	Snow	-10-0 °C	Breeze	No
7	No	-10-0 °C	Breeze	Yes
8	Rain	0-5 °C	Calm	No
9	No	-10-0 °C	Calm	Yes
10	Rain	0-5 °C	Calm	Yes

Select one option from the list

Yes, we can multiply individual probabilities to calculate a joint probability

No, we cannot calculate a joint probability from the data, because there was not such an observation in the past

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