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Conditional probability from exact representations

Question 1 of 8

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A collection of tickets is classified by two recorded properties

One of the listed outcomes or recorded items is selected uniformly at random

Let A be the event that the ticket is for a morning session, and let B be the event that the ticket was booked online. The sample space is S

The sample space S contains the whole-number labels 1 to 19, inclusive

\[A = \{1, 2, 3, 4, 5, 9, 10, 11, 12, 13\}\]
\[B = \{6, 7, 8, 9, 10, 11, 12, 13\}\]
(a)1 mark

Which event is known in \(\Pr(B\mid A)\)?

(b)1 mark

Find the exact probability that the ticket was booked online, given that the ticket is for a morning session

Format: exact probability