Looking closely, you will see that the Jack of Spades and the Jack of Hearts are revealing only one eye. These are the "one-eyed Jacks" and are used as wild cards in a popular home-version of poker, along with the four 2's (or "Deuces"). The King of Diamonds is also showing only one eye, so let us include it among the wild cards.

That gives us a total of 7 wild cards:

• the four 2's plus
• the two one-eyed Jacks plus
• the single one-eyed King.

Let W denote the set of wild cards. Let C denote a club.

Try to compute P(W|C) using Bayes Rule from knowledge of P(C|W), P(W), and the other needed pieces!Ideally, you will attempt this with (a) the common-sense approach and with (b) the technical approach. You might even get the same answer.

Check your answer using the direct method: P(W|C) = P(W and C) / P(C).