Peter rolls three dice at the same time. What is the probability that all the dices will show the same number? Choices.
A) a) 1/12	B) b) 1/36	C) c) 1/6	D) d) 1/36	E) e) 1/3
We can have 6 different outcomes on a dice.   Total outcomes on two dices = 6*6*6= 
<gadget id="calculator">6*6*6</gadget>
<output>216</output>
216   We need only the cases when Peter the same number with all the dices, that means only the outcomes in which the numbers on all three dices are same   They can be {1, 1, 1}, {2, 2, 2}, {3, 3, 3}, {4, 4, 4}, {5, 5, 5}, {6, 6, 6}.   A total of 6 outcomes   Probability= favorable outcomes/ total outcomes = 6/216 = 1/36.   Option d) 1/36
<result>D</result>
Peter rolls three dice at the same time. What is the probability that all the dices will show the same number?