If the probability that Mokhles will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?

Question: If the probability that Mokhles will miss at least one of the ten jobs assigned to him is 0.55, then what is the probability that he will do all ten jobs?

Solution:
There are only two cases:
1) Mokhles will miss at least one of the ten jobs.
2) Mokhles will not miss any of the ten jobs.

Hence, (The probability that Mokhles will miss at least one of the ten jobs) + (The probability that he will not miss any job) = 1. Since the probability that Mokhles will miss at least one of the ten jobs is 0.55, this equation becomes
⇒ 0.55+ (The probability that he will not miss any job) = 1
⇒ (The probability that he will not miss any job) = 1 - 0.55
⇒ (The probability that he will not miss any job) = 0.45