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1 of 8 0-day streak

Conditional probability from exact representations

Question 1 of 8

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A collection of counters is classified by colour and shape

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

Let A be the event that the counter is blue, and let B be the event that the counter is round. The sample space is S

The sample space S contains the whole-number labels 1 to 22, inclusive

\[A = \{1, 2, 3, 4, 12, 13, 14, 15, 16, 17, 18, 19, 20\}\]
\[B = \{5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}\]
(a)1 mark

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

(b)1 mark

Find the exact probability that the counter is round, given that the counter is blue

Format: exact probability