Solveeit Logo
Login

Question

Question: A and B each throw a die. The probability that A’s throw is not greater than B’s is...

A and B each throw a die. The probability that A’s throw is not greater than B’s is

A

1/6

B

5/12

C

½

D

7/12

Answer

7/12

Explanation

Solution

Let (x,y) denote the number obtained by A and B respectively such that x ≤ y.

∴ E = {(1, 1), (1, 2), ... (1, 6), (2,2), (2, 3),..., (2, 6), (3, 3)... (3, 6), (4, 4), (4,5), (4,6), (5,5), (5, 6), (6,6)}

∴ n (5) = 6+5+4+3+2+1 = 21

⇒ P(5) = 2136=712\frac { 21 } { 36 } = \frac { 7 } { 12 }