John flies frequently and likes to upgrade his seat to first class. he has determined that if he checks in for his flight at least 2 hour early, the probability that he will upgrade is 0.8; otherwise, the probability that he will upgrade is 0.3. with his busy schedule, he checks in at least 2 hours before his flight only 40% of the time. at one randomly selected trip that john upgraded his seat to first class, what is the probability that he checked in at least 2 hour before the flight?

Our required probability is 0.64.

Step-by-step explanation:

Since we have given that

Let A be the event that he upgrades his seat to first class.

Let B be the event that he checks in at least 2 hours early.

Let B' be the event that he does not checks in at least 2 hours early.

So,

By using Bayes' theorem, we get that

Hence, our required probability is 0.64.

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