# When two dice are rolled: List the outcomes for the event that the total is odd. - Mathematics

When two dice are rolled:

List the outcomes for the event that the total is odd.

#### Solution

$\text{ Possible outcomes when two dice are rolled }:$
$S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots, \left( 6, 5 \right), \left( 6, 6 \right) \right\}$

$\text{ Therefore, the number of possible outcomes in the sample space is 36 }.$

$\text{ The outcomes for the event that the total is odd }:$
$E = \left\{ \left( 1, 2 \right), \left( 1, 4 \right), \left( 1, 6 \right), \left( 2, 1 \right), \left( 2, 3 \right), \left( 2, 5 \right), \left( 3, 2 \right), \left( 3, 4 \right), \left( 3, 6 \right), \left( 4, 1 \right), \left( 4, 3 \right), \left( 4, 5 \right), \left( 5, 2 \right), \left( 5, 4 \right), \left( 5, 6 \right), \left( 6, 1 \right), \left( 6, 3 \right), \left( 6, 5 \right) \right\}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 26 Data Handling-IV (Probability)
Exercise 26.1 | Q 18.1 | Page 16