Expected return = ___ 88.06%____________

Expected return = _____ 94.02%__________

3. Consider a keno game in which there are 100 balls, the player picks 5 and the casino draws 25. Fill in the following table to determine the expected return.

Catch	Formula	Combinations	Pays	Return
5	COMBIN(25,5)*COMBIN(75,0)	53,130	100	5,313,000
4	COMBIN(25,4)*COMBIN(75,1)	948,750	15	14,231,250
3	COMBIN(25,3)*COMBIN(75,2)	6,382,500	3	19,147,500
2	COMBIN(25,2)*COMBIN(75,3)	20,257,500	1	20,257,500
1	COMBIN(25,1)*COMBIN(75,4)	30,386,250	0	0
0	COMBIN(25,0)*COMBIN(75,5)	17,259,390	0	0
Total		75,287,520		58,949,250

Expected return = _____ 78.30%__________

 

 

4. Consider a keno game in which there are 75 balls, the player picks 6 and the casino draws 14. Fill in the following table to determine the expected return.

Catch	Formula	Combinations	Pays	Return
6	COMBIN(14,6)*COMBIN(61,0)	3,003	10000	30,030,000
5	COMBIN(14,5)*COMBIN(61,1)	122,122	250	30,530,500
4	COMBIN(14,4)*COMBIN(61,2)	1,831,830	25	45,795,750
3	COMBIN(14,3)*COMBIN(61,3)	13,100,360	5	65,501,800
2	COMBIN(14,2)*COMBIN(61,4)	47,488,805	0	0
1	COMBIN(14,1)*COMBIN(61,5)	83,288,058	0	0
0	COMBIN(14,0)*COMBIN(61,6)	55,525,372	0	0
Total		201,359,550		171,858,050

Expected return = ______ 85.35%_________

 

5. Consider a keno game in which there are 40 balls, the player picks 7 and the casino draws 10. Fill in the following table to determine the expected return.

Catch	Formula	Combinations	Pays	Return
7	COMBIN(10,7)*COMBIN(30,0)	120	2500	300,000
6	COMBIN(10,6)*COMBIN(30,1)	6,300	250	1,575,000
5	COMBIN(10,5)*COMBIN(30,2)	109,620	50	5,481,000
4	COMBIN(10,4)*COMBIN(30,3)	852,600	5	4,263,000
3	COMBIN(10,3)*COMBIN(30,4)	3,288,600	1	3,288,600
2	COMBIN(10,2)*COMBIN(30,5)	6,412,770	0	0
1	COMBIN(10,1)*COMBIN(30,6)	5,937,750	0	0
0	COMBIN(10,0)*COMBIN(30,7)	2,035,800	1	2,035,800
Total		18,643,560		16,943,400

Expected return = _______ 90.88%________

6. Consider a keno game in which there are 50 balls, the player picks 8 and the casino draws 12. Fill in the following table to determine the expected return.

Catch	Formula	Combinations	Pays	Return
8	COMBIN(12,8)*COMBIN(38,0)	495	5000	2,475,000
7	COMBIN(12,7)*COMBIN(38,1)	30,096	1000	30,096,000
6	COMBIN(12,6)*COMBIN(38,2)	649,572	50	32,478,600
5	COMBIN(12,5)*COMBIN(38,3)	6,681,312	15	100,219,680
4	COMBIN(12,4)*COMBIN(38,4)	36,538,425	5	182,692,125
3	COMBIN(12,3)*COMBIN(38,5)	110,427,240	1	110,427,240
2	COMBIN(12,2)*COMBIN(38,6)	182,204,946	0	0
1	COMBIN(12,1)*COMBIN(38,7)	151,443,072	0	0
0	COMBIN(12,0)*COMBIN(38,8)	48,903,492	0	0
Total		536,878,650		458,388,645

Expected return = ___ 85.38%____________

 

7. Consider a keno game in which there are 60 balls, the player picks 9 and the casino draws 15. Fill in the following table to determine the expected return.

Catch	Formula	Combinations	Pays	Return
9	COMBIN(15,9)*COMBIN(45,0)	5,005	10000	50,050,000
8	COMBIN(15,8)*COMBIN(45,1)	289,575	2000	579,150,000
7	COMBIN(15,7)*COMBIN(45,2)	6,370,650	100	637,065,000
6	COMBIN(15,6)*COMBIN(45,3)	71,020,950	20	1,420,419,000
5	COMBIN(15,5)*COMBIN(45,4)	447,431,985	10	4,474,319,850
4	COMBIN(15,4)*COMBIN(45,5)	1,667,701,035	2	3,335,402,070
3	COMBIN(15,3)*COMBIN(45,6)	3,706,002,300	1	3,706,002,300
2	COMBIN(15,2)*COMBIN(45,7)	4,764,860,100	0	0
1	COMBIN(15,1)*COMBIN(45,8)	3,233,297,925	0	0
0	COMBIN(15,0)*COMBIN(45,9)	886,163,135	0	0
Total		14,783,142,660		14,202,408,220

Expected return = _____ 96.07%__________

8. Consider a keno game in which there are 72 balls, the player picks 10 and the casino draws 12. Fill in the following table to determine the expected return.

Expected return = ______ 92.28%_________