A and B each throw a dice. The probability that A's throw is not greater than B's is

1/6 5/12 1/2 7/12

7/12

A ≤ B P (A > B)  B draw   A draw   Total numbers  1  2, 3, ……,6  5 2  3, 4, …., 6 4 3  4, 5, 6 3 4  5, 6 2 5  6 1     Total = 15 $P(A>B)=\frac{15}{30}$ $P(A \leq B)=1-\frac{15}{30}=\frac{7}{12}$