Answer: The required probability is 0.82.
Step-by-step explanation:
Since we have given that
Number of projects = 3
So, probability of getting each project = [tex]\dfrac{1}{3}[/tex]
Probability of first path being completed in 43 days = 0.7
Probability of second path being completed in 43 days = 0.85
Probability of third path being completed in 43 days = 0.90
So, Probability that the project will be completed on time would be
[tex]\dfrac{1}{3}(0.7+0.85+0.90)\\\\=\dfrac{1}{3}\times 2.45\\\\=0.82[/tex]
Hence, the required probability is 0.82.