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I roll a pair of dice, What is the probability that 

 

A. The sum of the pips on the top faces is 7 and double is rolled ? 

 

I said P ( sum of 7 or double is rolled ) = 0 

 

So when we try to compute using the inclusion/exclusion principle the last term of the formula will go away right ? 

 

P (sum of 7 or doubles ) = P ( sum of 9 ) / P (doubles ) - P( sump of 7 or double ) 

 

Something devided by 36 + someting else divided by 36 as well minus 0 right ? 

 

THE THING IS I DON'T KOW BY WHAT SHOULD I DIVIDED 36 ? 

 

Thank you and take care ! 

 

 
 Nov 23, 2015
 #1
avatar+130555 
+5

I'm not sure as to what you're calculating, but,  if we're asking the probability of a 7  or the probability of a double, we have :

 

P ( 7 or a double)  =  P(7)  + P(double)  - P(7 and a double)

 

The last term is 0.......no doubles  equal 7

 

P(7)   .......there are 36 possibilities when we roll 2 dice........the probability of a 7  =  6/36    ....and the probabilty of a double =  6/36

 

So

 

P(7 or a double)  = 6/36   + 6/36  -  0      =   12/36  =  1/3

 

 

cool cool cool

 Nov 23, 2015

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