OpenStudy (anonymous):
2 and only 2 independent factors influence my happiness: My salary and the weather. The probability that I have a high salary is 0.2 The probability that it is sunny is 0.95 The probability that I am happy, given that I have a high salary and it is sunny is 0.99 The probability that I am happy given that it is gloomy and I have a high salary is 0.8 The probability that I am happy given it is sunny and that I have a low salary is 0.6 The probability that I am happy given the weather is gloomy and I have a low salary is 0.1 Find the probability that I have a high salary, given that it is sunny
OpenStudy (anonymous):
look ai-class video :D
OpenStudy (mr.math):
You said that the two events, your salary and the weather are independent (i.e the occurrence of one even does NOT affect the probability of the other), \[P(\text{ high salary}|\text{sunny})=P(\text{ high salary})=0.2 \text{ .}\]
OpenStudy (mr.math):
event*
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