+0  
 
+5
4014
9
avatar+1807 

1. In the SmallState Lottery, three white b***s are drawn (at random) from twenty b***s numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten b***s numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one number from 21-30. To win the jackpot, the numbers on your ticket must match the three white b***s and the SuperBall. (You don't need to match the white b***s in order). If you buy a ticket, what is your probability of winning the jackpot?

 

2. In the SmallState Lottery, three white b***s are drawn (at random) from twenty b***s numbered 1 through 20, and a blue SuperBall is drawn (at random) from ten b***s numbered 21 through 30. When you buy a ticket, you select three numbers from 1-20 and one number from 21-30. To win a prize, the numbers on your ticket must match at least two of the white b***s or must match the SuperBall. If you buy a ticket, what is your probability of winning a prize?

 

Thanks for helping me!

 Apr 9, 2015

Best Answer 

 #1
avatar+111394 
+37

1. For the first one, we have this many possibile outcomes :

C(20,3) * 10  = 11,400   ...so....the probability of winning on one ticket is  1 /11,400  = 0.0000877192982456 = about .0088%

 

  

 Apr 10, 2015
 #1
avatar+111394 
+37
Best Answer

1. For the first one, we have this many possibile outcomes :

C(20,3) * 10  = 11,400   ...so....the probability of winning on one ticket is  1 /11,400  = 0.0000877192982456 = about .0088%

 

  

CPhill Apr 10, 2015
 #2
avatar+109738 
+16

Thanks Chris :)

 Apr 10, 2015
 #3
avatar+111394 
+15

2. For the second one.....

Let A be the probabilty of choosing 3 b***s out of 20 

Let B be the probability of choosing one ball out of 10

So

P(P or B)  =  1/C(20,3)  + 1/10   =  1/1140 + 1/10   =  23/228 =  about 10%

 

  

 Apr 10, 2015
 #4
avatar+30351 
+12

I get a slightly different answer for the second part:

 

prob of matching 3 white b***s  = 3/20 * 2/19 * 1/18 = 6/(20*19*18)

prob of matching 1st and 2nd but not 3rd = 3/20 * 2/19 * 17/18 = 6*17/(20*19*18)

prob of matching 1st and 3rd but not 2nd = 3/20 * 17/19 * 2/18  = 6*17/(20*19*18)

prob of matching 2nd and 3rd but not 1st = 17/20 * 3/19 * 2/18  = 6*17/(20*19*18)

prob of matching blue ball = 1/10

 

Overall probability = 6*(1+3*17)/(20*19*18) +1/10 = 83/570 ≈ 0.146

 

I think Chris's probability (23/228) is that of getting all three white b***s or the blue ball, rather than at least two white b***s or the blue ball.

.

 Apr 10, 2015
 #5
avatar
+13

Why is b***s considered a swear word?

 Nov 7, 2015
 #6
avatar
+1

don't we have to multiply probablities?

 Apr 4, 2016
 #7
avatar
+1

You don't have to multiply probabilities for the second part because it says or. Or in a probability statement means that you add, AND means you multiply

 Apr 17, 2016
 #8
avatar
+1

I need some help with part b too. Both the above answers are wrong.

 Jul 2, 2016
 #9
avatar
+2

67/475

 Sep 18, 2016

20 Online Users

avatar
avatar