Description

The experiment is to deal a bridge hand (13 cards) at random from a standard deck of 52 cards. Random variable \(X_i\) gives the denomination and suit of card \(i \in \{1, 2, \ldots, 13]}). Other random variables of interest are:

1. The number of aces \(A\)
2. The number of kings \(K\)
3. The number of queens \(Q\)
4. The number of jacks \(J\)
5. The number of non-honor cards \(N\)
6. The honor card point value \(V = 4 A + 3 K + 2 Q + J\)
7. The numnber of spades \(S\)
8. The number of hearts \(H\)
9. The number of diamonds \(D\)
10. The number of clubs \(C\)
11. The number of voids \(Z_0 = \bs{1}(S = 0) + \bs{1}(H = 0) + \bs{1}(D = 0) + \bs{1}(C = 0)\)
12. The number of singletons \(Z_1 = \bs{1}(S = 1) + \bs{1}(H = 1) + \bs{1}(D = 1) + \bs{1}(C = 1)\)
13. The number of doubletons \(Z_2 = \bs{1}(S = 2) + \bs{1}(H = 2) + \bs{1}(D = 2) + \bs{1}(C = 2)\)
14. The number of cards in the shortest suit \(L_0 = \min\{S, H, D, C\}\)
15. The number of cards in the longest suit \(L_1 = \max\{S, H, D, C\}\)
16. The sparse suit point value \(W = 3 Z_0 + 2 Z_1 + Z_2\)