Suppose we are given the following table of data. This tells us whether or not our friend will play a game of chess with us outside in the park, based on a number of weather-related conditions:
Temperature |
Wind |
Sunshine |
Play |
Cold |
Strong |
Cloudy |
No |
Warm |
Strong |
Cloudy |
No |
Warm |
None |
Sunny |
Yes |
Hot |
None |
Sunny |
No |
Hot |
Breeze |
Cloudy |
Yes |
Warm |
Breeze |
Sunny |
Yes |
Cold |
Breeze |
Cloudy |
No |
Cold |
None |
Sunny |
Yes |
Hot |
Strong |
Cloudy |
Yes |
Warm |
None |
Cloudy |
Yes |
Warm |
Strong |
Sunny |
? |
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We would like to establish, by using Bayes' theorem, whether our friend would like to play a game of chess with us in the park given that the Temperature is Warm, the Wind is Strong, and it is Sunny.