Two dice are thrown simultaneously. The probability of getti... | MATH - DEFINITION OF PROBABILITY | SolveeIt | Solveeit

Today, August 18

Question

Two dice are thrown simultaneously. The probability of getting the sum 2 or 8 or 12 is

A

$\frac { 5 } { 18 }$

B

$\frac { 7 } { 36 }$

C

$\frac { 7 } { 18 }$

D

$\frac { 5 } { 36 }$

Answer

$\frac { 7 } { 36 }$

Explanation

Solution

The sum 2 can be found in one way i.e. $( 1,1 )$

The sum 8 can be found in five ways i.e. $( 6,2 )$ $( 5,3 )$ $( 4,4 ) , ( 3,5 ) , ( 2,6 )$ . Similarly the sum twelve can be found in one way i.e., $( 6,6 )$

Hence required probability