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# When Two Dice Are Rolled: Find the Probability of Getting a Total Less than 5? - Mathematics

When two dice are rolled:

Find the probability of getting a total less than 5?

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#### Solution

$\text{ Possible outcomes when two dice are rolled }:$
$S = \left\{ \left( 1, 1 \right), \left( 1, 2 \right), \left( 1, 3 \right), \left( 1, 4 \right), \cdots, \left( 6, 5 \right), \left( 6, 6 \right) \right\}$
$\text{ Therefore, the number of possible outcomes in the sample space is 36 }.$

$\text{ The number of favourable outcomes is 6 }.$
$\therefore P\left( B \right) = \frac{6}{36} = \frac{1}{6}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 26 Data Handling-IV (Probability)
Exercise 26.1 | Q 18.4 | Page 16
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