well as the weather condition. The project is deemed to be successfully completed if either one of the following events occurs: E 1 : There is good weather and the supply of labour or materials is adequate or both. E 2 : There is bad weather and the supply of both labour and materials is adequate. Consider the following: G= Good weather occurs L= Adequate supply of labour M= Adequate supply of materials C= Successful completion The probability of adequate supply of labour (L) is 0.7 and the probability of good weather is 0.6 . L is independent of both G and M. If the weather is good, adequate supply of materials is guaranteed (i.e., P(M∣G)=1 ), whereas the probability of adequate supply of materials is only 0.5 if bad weather occurs. Which option correctly defines events E 1 and E2? E1 =GL∪GM and E2= GˉLME1 =LMG and E 2 =LM∣ GˉE 1 =LM∣G and E 2 =L∪M∣ GˉE1 =GL∩GM and E 2= Gˉ ∪LM
Are the events E1 and E2 mutually exclusive?
What is the probability of event E1?
What is the probability of event E2?
Explain how you will calculate the probability of completing the construction project (C)?
