We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+5
3305
9
avatar+1802 

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+103790 
+36

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+103790 
+36
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+104376 
+16

Thanks Chris :)

 Apr 10, 2015
 #3
avatar+103790 
+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+28159 
+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
+11

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

22 Online Users

avatar
avatar