Cara and Dan will throw three dice each. The score is the sum of points on all three dice. If Cara scores 16 in her attempt, what is the probability that Dan will outscore Cara in his attempt?	Choose the correct choice from the following options:	A) 1/36	B) 1/54	C) 5/54	D) 1/216	E) 5/216
The total number of ways the dice can land is 6*6*6= 
<gadget id="calculator">6*6*6</gadget>
<output>216</output>
216.   Dan can get a score of 18=6+6+6   There is only 1 way to do this.   Dan can get a score of 17=6+6+5   There are 3 ways to do this.   P(Dan wins)=4/216=1/54   The answer is 1/54.
<result>B</result>
Cara and Dan will throw three dice each. The score is the sum of points on all three dice. If Cara scores 16 in her attempt, what is the probability that Dan will outscore Cara in his attempt?