Ira and Jake will throw three dice each. The score is the sum of points on all three dice. If Ira scores 4 in her attempt, what is the probability that Jake will outscore Ira in his attempt?  Options:  A) 5/6  B) 17/18  C) 26/27  D) 35/36  E) 53/54
The total number of ways the dice can land is 6*6*6= 
<gadget id="calculator">6*6*6</gadget>
<output>216</output>
216.   There is only 1 way to get a score of 3= 1+1+1   There are only 3 ways to get a score of 4 = 1+1+2   Jake wins for any other outcome.   P(Jake wins)=1-4/216=53/54   The answer is 53/54.
<result>E</result>
Ira and Jake will throw three dice each. The score is the sum of points on all three dice. If Ira scores 4 in her attempt, what is the probability that Jake will outscore Ira in his attempt?