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In a Simultaneous Throw of a Pair of Dice, Find the Probability of Getting:(Xiv) a Number Greater than 4 on Each Die - Mathematics

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प्रश्न

In a simultaneous throw of a pair of dice, find the probability of getting a number greater than 4 on each die

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उत्तर

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 E14 = event of getting a number greater than 4 on each dice
Then E14 = {(5, 5), (5, 6), (6, 5), (6, 6)}
         i.e. n (E14) = 4

\[\therefore P\left( E_{14} \right) = \frac{n\left( E_{14} \right)}{n\left( S \right)} = \frac{4}{36} = \frac{1}{9}\]

 

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Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
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पाठ 33: Probability - Exercise 33.3 [पृष्ठ ४५]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 33 Probability
Exercise 33.3 | Q 2.14 | पृष्ठ ४५

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