Roll two fair 6-sided dice; record the smaller number.
A){1,2,3,4,5,6},not equally likely
B){1,2,3,4,5},equally likely
C){0,1,2,3,4,5},equally likely
D){1,2,3,4,5,6},equally likely
E){1,2,3,4,5},not equally likely

Question

Quizplus · Accepted Answer

When rolling two fair 6-sided dice and recording the smaller number, the possible outcomes are indeed {1,2,3,4,5,6}, but they are not equally likely. For example, there is only one way to get a smaller number of 1 when both dice show a 1, but there are more ways to get a smaller number of 2 (one die shows a 2 and the other shows a 2 or higher).

Roll Two Fair 6-Sided Dice; Record the Smaller Number