5 Main Numbers + Powerball (Jackpot)

1 in 292,201,338.000 
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The odds for this prize level are directly influenced by the Powerball. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(695,55) = 64! ÷ (0! × (640)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (5! × (55)!) = 1
64! ÷ (0! × (640)!) = 1
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
292,201,338.000 
1 

Calculate:
(11,238,513 ÷ 1) × (26 ÷ 1) = 292,201,338.000


5 Main Numbers

1 in 11,688,053.520 
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The odds for this prize level are indirectly influenced by the Powerball. Even though this prize level only involves matching 5 main numbers, the fact that you can also match 5 main numbers and a Powerball means the odds of matching 5 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 5 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(695,55) = 64! ÷ (0! × (640)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(261,10) = 25! ÷ (1! × (251)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (5! × (55)!) = 1
64! ÷ (0! × (640)!) = 1
26! ÷ (1! × (261)!) = 26
1! ÷ (0! × (10)!) = 1
25! ÷ (1! × (251)!) = 25

292,201,338 
= 
11,688,053.520 
25 

Calculate:
(11,238,513 ÷ 1) × (26 ÷ 25) = 11,688,053.520


4 Main Numbers + Powerball

1 in 913,129.181 
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The odds for this prize level are directly influenced by the Powerball. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(695,54) = 64! ÷ (1! × (641)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (4! × (54)!) = 5
64! ÷ (1! × (641)!) = 64
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
913,129.181 
320 

Calculate:
(11,238,513 ÷ 320) × (26 ÷ 1) = 913,129.181


4 Main Numbers

1 in 36,525.167 
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The odds for this prize level are indirectly influenced by the Powerball. Even though this prize level only involves matching 4 main numbers, the fact that you can also match 4 main numbers and a Powerball means the odds of matching 4 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 4 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(695,54) = 64! ÷ (1! × (641)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(261,10) = 25! ÷ (1! × (251)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (4! × (54)!) = 5
64! ÷ (1! × (641)!) = 64
26! ÷ (1! × (261)!) = 26
1! ÷ (0! × (10)!) = 1
25! ÷ (1! × (251)!) = 25

292,201,338 
= 
36,525.167 
8,000 

Calculate:
(11,238,513 ÷ 320) × (26 ÷ 25) = 36,525.167


3 Main Numbers + Powerball

1 in 14,494.114 
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The odds for this prize level are directly influenced by the Powerball. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(695,53) = 64! ÷ (2! × (642)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (3! × (53)!) = 10
64! ÷ (2! × (642)!) = 2,016
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
14,494.114 
20,160 

Calculate:
(11,238,513 ÷ 20,160) × (26 ÷ 1) = 14,494.114


3 Main Numbers

1 in 579.765 
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The odds for this prize level are indirectly influenced by the Powerball. Even though this prize level only involves matching 3 main numbers, the fact that you can also match 3 main numbers and a Powerball means the odds of matching 3 main numbers alone are increased. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 3 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 0 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(695,53) = 64! ÷ (2! × (642)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(261,10) = 25! ÷ (1! × (251)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (3! × (53)!) = 10
64! ÷ (2! × (642)!) = 2,016
26! ÷ (1! × (261)!) = 26
1! ÷ (0! × (10)!) = 1
25! ÷ (1! × (251)!) = 25

292,201,338 
= 
579.765 
504,000 

Calculate:
(11,238,513 ÷ 20,160) × (26 ÷ 25) = 579.765


2 Main Numbers + Powerball

1 in 701.328 
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The odds for this prize level are directly influenced by the Powerball. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 2 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,2) = 5! ÷ (2! × (52)!)
C(695,52) = 64! ÷ (3! × (643)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (2! × (52)!) = 10
64! ÷ (3! × (643)!) = 41,664
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
701.328 
416,640 

Calculate:
(11,238,513 ÷ 416,640) × (26 ÷ 1) = 701.328


1 Main Numbers + Powerball

1 in 91.977 
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The odds for this prize level are directly influenced by the Powerball. Therefore the variables associated with the main ball pool and those associated with the separate Powerball pool must be taken into account in order to calculate the correct odds, hence the following formula is used:


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 1 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,1) = 5! ÷ (1! × (51)!)
C(695,51) = 64! ÷ (4! × (644)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (1! × (51)!) = 5
64! ÷ (4! × (644)!) = 635,376
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
91.977 
3,176,880 

Calculate:
(11,238,513 ÷ 3,176,880) × (26 ÷ 1) = 91.977


Powerball Only

1 in 38.324 
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Although this prize level involves matching the Powerball only (drawn from a separate ball pool), the main balls must still be taken into account since the Powerball can also be matched with a selection of main numbers, thereby increasing the odds of matching the Powerball alone.


C(n,r) = Odds of correctly choosing r balls from n
n = Number of balls in the main pool
r = Balls drawn from the main pool
m = Balls to be matched from the main pool
t = Number of balls in the bonus pool
b = Balls drawn from the bonus pool
d = Balls to be matched from the bonus pool


Substitute:
n for 69 (number of balls in the main pool)
r for 5 (balls drawn from the main pool)
m for 0 (balls to be matched from the main pool)
t for 26 (number of balls in the bonus pool)
b for 1 (balls drawn from the bonus pool)
d for 1 (balls to be matched from the bonus pool)


Expand:
C(69,5) = 69! ÷ (5! × (695)!)
C(5,0) = 5! ÷ (0! × (50)!)
C(695,50) = 64! ÷ (5! × (645)!)
C(26,1) = 26! ÷ (1! × (261)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(261,11) = 25! ÷ (0! × (250)!)
! means 'Factorial' eg: 69! = 69 × 68 × 67 ... × 1
Note: 0! = 1


Simplify:
69! ÷ (5! × (695)!) = 11,238,513
5! ÷ (0! × (50)!) = 1
64! ÷ (5! × (645)!) = 7,624,512
26! ÷ (1! × (261)!) = 26
1! ÷ (1! × (11)!) = 1
25! ÷ (0! × (250)!) = 1

292,201,338 
= 
38.324 
7,624,512 

Calculate:
(11,238,513 ÷ 7,624,512) × (26 ÷ 1) = 38.324


Overall Odds: 1 in 24.867 