Belief conditions — visual illustrations
Card values: number cards 2–10 count as their number; J, Q, K count as 11, 12, 13. The ace is the highest card, counting as 14 — and an ace is not a number card.
At least 5 cards of one suit.
♥
♥
♥
♥
♥
≥ 5 same
Number cards sum to at least 50.
8
+
9
+
10
+
...
Sum ≥ 50
Exactly 6 number cards.
2-10
= 6
At least 8 number cards.
2-10
≥ 8
At least 4 distinct even number-card values.
2
4
6
8
10
≥ 4 distinct
Equal count of even and odd number cards.
#{2, 4, 6, 8, 10} = #{3, 5, 7, 9}
Even number cards exceed odd by at least 3.
#{2, 4, 6, 8, 10} ≥ #{3, 5, 7, 9} + 3
Exactly 1 face card.
JQK
= 1
Exactly 3 face cards.
JQK
JQK
JQK
= 3
At least one each of J, Q, K.
J
Q
K
≥ 1 each
Smallest card's value is odd.
3
Lowest = odd
Highest card is a King or Jack.
Highest ∈ {K, J}
At least 4 cards of value 3, 6, or 9.
3
6
9
3
≥ 4 cards
Sum of the 3 lowest cards is at most 8.
3 lowest: sum ≤ 8
Two pairs whose values differ by exactly one.
Hearts ≥ Diamonds ≥ Spades (by count).
♥
≥
♦
≥
♠
Highest card is a club. (Clubs lose ties.)
♣
Highest