A and B each throw a dice. The probability that A's throw is not greater than B's is
Answer & explanation
Correct answer: option 4
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 |
$P(A>B)=\frac{15}{30}$
$P(A \leq B)=1-\frac{15}{30}=\frac{7}{12}$