5 Main Numbers + Powerball (Jackpot)

1 in 175,223,510 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(595,55) = 54! ÷ (0! × (540)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (5! × (55)!) = 1
54! ÷ (0! × (540)!) = 1
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
175,223,510 
1 

Calculate:
(5,006,386 ÷ 1) × (35 ÷ 1) = 175,223,510


5 Main Numbers

1 in 5,153,633 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,5) = 5! ÷ (5! × (55)!)
C(595,55) = 54! ÷ (0! × (540)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(351,10) = 34! ÷ (1! × (341)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (5! × (55)!) = 1
54! ÷ (0! × (540)!) = 1
35! ÷ (1! × (351)!) = 35
1! ÷ (0! × (10)!) = 1
34! ÷ (1! × (341)!) = 34

175,223,510 
= 
5,153,633 
34 

Calculate:
(5,006,386 ÷ 1) × (35 ÷ 34) = 5,153,633


4 Main Numbers + Powerball

1 in 648,976 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(595,54) = 54! ÷ (1! × (541)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (4! × (54)!) = 5
54! ÷ (1! × (541)!) = 54
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
648,976 
270 

Calculate:
(5,006,386 ÷ 270) × (35 ÷ 1) = 648,976


4 Main Numbers

1 in 19,088 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,4) = 5! ÷ (4! × (54)!)
C(595,54) = 54! ÷ (1! × (541)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(351,10) = 34! ÷ (1! × (341)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (4! × (54)!) = 5
54! ÷ (1! × (541)!) = 54
35! ÷ (1! × (351)!) = 35
1! ÷ (0! × (10)!) = 1
34! ÷ (1! × (341)!) = 34

175,223,510 
= 
19,088 
9,180 

Calculate:
(5,006,386 ÷ 270) × (35 ÷ 34) = 19,088


3 Main Numbers + Powerball

1 in 12,245 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(595,53) = 54! ÷ (2! × (542)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (3! × (53)!) = 10
54! ÷ (2! × (542)!) = 1,431
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
12,245 
14,310 

Calculate:
(5,006,386 ÷ 14,310) × (35 ÷ 1) = 12,245


3 Main Numbers

1 in 360 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,3) = 5! ÷ (3! × (53)!)
C(595,53) = 54! ÷ (2! × (542)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,0) = 1! ÷ (0! × (10)!)
C(351,10) = 34! ÷ (1! × (341)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (3! × (53)!) = 10
54! ÷ (2! × (542)!) = 1,431
35! ÷ (1! × (351)!) = 35
1! ÷ (0! × (10)!) = 1
34! ÷ (1! × (341)!) = 34

175,223,510 
= 
360 
486,540 

Calculate:
(5,006,386 ÷ 14,310) × (35 ÷ 34) = 360


2 Main Numbers + Powerball

1 in 706 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,2) = 5! ÷ (2! × (52)!)
C(595,52) = 54! ÷ (3! × (543)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (2! × (52)!) = 10
54! ÷ (3! × (543)!) = 24,804
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
706 
248,040 

Calculate:
(5,006,386 ÷ 248,040) × (35 ÷ 1) = 706


1 Main Numbers + Powerball

1 in 111 
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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 (Please note: calculations have been rounded):


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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,1) = 5! ÷ (1! × (51)!)
C(595,51) = 54! ÷ (4! × (544)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (1! × (51)!) = 5
54! ÷ (4! × (544)!) = 316,251
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
111 
1,581,255 

Calculate:
(5,006,386 ÷ 1,581,255) × (35 ÷ 1) = 111


Powerball Only

1 in 55 
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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 59 (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 35 (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(59,5) = 59! ÷ (5! × (595)!)
C(5,0) = 5! ÷ (0! × (50)!)
C(595,50) = 54! ÷ (5! × (545)!)
C(35,1) = 35! ÷ (1! × (351)!)
C(1,1) = 1! ÷ (1! × (11)!)
C(351,11) = 34! ÷ (0! × (340)!)
! means 'Factorial' eg: 59! = 59 × 58 × 57 ... × 1
Note: 0! = 1


Simplify:
59! ÷ (5! × (595)!) = 5,006,386
5! ÷ (0! × (50)!) = 1
54! ÷ (5! × (545)!) = 3,162,510
35! ÷ (1! × (351)!) = 35
1! ÷ (1! × (11)!) = 1
34! ÷ (0! × (340)!) = 1

175,223,510 
= 
55 
3,162,510 

Calculate:
(5,006,386 ÷ 3,162,510) × (35 ÷ 1) = 55


Approx. Overall Odds: 1 in 32 