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In a Simultaneous Throw of a Pair of Dice, Find the Probability of Getting:(Xvi) a Total Greater than 8. - Mathematics

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Question

In a simultaneous throw of a pair of dice, find the probability of getting a total greater than 8.

 
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Solution

We know that in a single throw of two dices, the total number of possible outcomes is (6 × 6) = 36.
Let S be the sample space.
Then n(S) = 36

 Let E16 = event of getting a total greater than 8
Then E16 = {(3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6)}
         i.e. n (E16) = 10

\[\therefore P\left( E_{16} \right) = \frac{n\left( E_{16} \right)}{n\left( S \right)} = \frac{10}{36} = \frac{5}{18}\]

 

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Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
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Chapter 33: Probability - Exercise 33.3 [Page 45]

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RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.3 | Q 2.16 | Page 45

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