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November 14th, 2011, 11:19 AM  #1 
Newbie Joined: Oct 2011 Posts: 12 Thanks: 0  probability dice
If you roll two fair dice, one red and one green. Whatis the probability that you get a sum of 7 given that one die is an even number? Thank you. 
November 14th, 2011, 11:41 AM  #2 
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: probability dice
6 possibilities for 7 with 1 die even 1 + 6 6 + 1 4 + 3 3 + 4 5 + 2 2 + 4 possibilities with at least 1 die even = 3*3+3*3+3*3 = 27 answer: 6/27 
November 14th, 2011, 11:54 AM  #3 
Newbie Joined: Oct 2011 Posts: 12 Thanks: 0  Re: probability dice
sorry, I dont get it why possibilities with at least 1 die even = 3*3+3*3+3*3 = 27? 
November 14th, 2011, 12:07 PM  #4  
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: probability dice Quote:
second die even, first die uneven: 3*3 first die even, second die even: 3*3  
November 14th, 2011, 12:12 PM  #5 
Newbie Joined: Oct 2011 Posts: 12 Thanks: 0  Re: probability dice
sorry, can did you get 3?

November 14th, 2011, 12:30 PM  #6  
Senior Member Joined: Oct 2011 From: Belgium Posts: 522 Thanks: 0  Re: probability dice Quote:
 
November 15th, 2011, 06:58 AM  #7  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 408  Re: probability dice Hello, mathproblems! Quote:
1,\,6),\2,\,5),\3,\,4),\4,\,3),\5,\,2) ,\6,\,1)" />  
November 15th, 2011, 07:38 AM  #8 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361  Re: probability dice
If you are given that one die is even, it means that precisely one die is even right? Meaning the other is odd. 18 possibilities to have precisely 1 even. So a 1/3 chance that it'll give a 7. 
November 15th, 2011, 07:40 AM  #9 
Newbie Joined: Oct 2011 Posts: 12 Thanks: 0  Re: probability dice
thank you. sounds great

November 16th, 2011, 10:08 PM  #10 
Newbie Joined: Oct 2011 From: Jaipur Posts: 17 Thanks: 0  Re: probability dice
Specific Multiplication Rule Only valid for independent events P(A and B) = P(A) * P(B) Example 3: P(A) = 0.20, P(B) = 0.70, A and B are independent. B B' Marginal A 0.14 0.06 0.20 A' 0.56 0.24 0.80 Marginal 0.70 0.30 1.00 The 0.14 is because the probability of A and B is the probability of A times the probability of B or 0.20 * 0.70 = 0.14. Dependent Events If the occurrence of one event does affect the probability of the other occurring, then the events are dependent. Conditional Probability The probability of event B occurring that event A has already occurred is read "the probability of B given A" and is written: P(BA) General Multiplication Rule Always works. P(A and B) = P(A) * P(BA) 

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