HOLD 3 CARDS

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The only time that you hold 3 cards is if you have a 3-of-a-kind or a 3-card-straight-flush, 3-card-royal-flush, or 3 face cards.

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Hold 3 Card Straight Flush

I did not list the straight flush odds that the hold cards contained an Ace, 2 or 3 because of space. Here is why.

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Holding

A,2,3 suited

A,2,4 suited

A,2,5 suited

A,3,4 suited

A,3,5 suited

A,4,5 suited

2,3,6 suited

2,4,6 suited

2,5,6 suited

3,4,7 suited

3,5,7 suited

3,6,7 suited

Are all 1 in 1081 odds

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2,3,4 suited

2,3,5 suited

2,4,5 suited

3,4,6 suited

3,5,6 suited

Are all 1 in 540 odds

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3,4,5 suited

Is 1 in 360 odds

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In the first group (1081 odds),

If the set has an A the SF can only be A, 2, 3, 4, 5

If the set has a 2 and a 6 it can only be 2,3,4,5,6

If the set has a 3 and a 7 it can only be 3,4,5,6,7

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In the second group (540 odds)

Each straight flush can be completed by adding one card on each end or one inside card and one end card.

The SF�s possible are� A,2,3,4,5 � 2,3,4,5,6 � 3,4,5,6,7

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In the third set (360 odds)

�Two cards on either end of the set can be 1, 2 or 6, 7

Or one card on each end of the set a 2 and 6.

All complete the Straight Flushs.

1,2,3,4,5 � 2,3,4,5,6 � or 3,4,5,6,7

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Hold 3 Face Cards

If the three face cards do not contain an ace they must be J, Q, K. If the three cards are suited the odds of catching a straight are less because some of the cards caught would result in a SF or RF.

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Straight / no ace

�If the three face cards are suited a 9-10 suited or 10-ace would result in a SF or RF and would not be counted as a straight. This is why the odds of catching a straight when holding �unsuited face cards is 1 in 34 and the odds are 1 in 36 when the three face cards are suited.

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