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A student says that if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting ‘not 1’ each is equal to 12. Is this correct? Give reasons. - Mathematics

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Question

A student says that if you throw a die, it will show up 1 or not 1. Therefore, the probability of getting 1 and the probability of getting ‘not 1’ each is equal to `1/2`. Is this correct? Give reasons. 

Sum

Solution

No, this is not correct.

Suppose we throw a die, then total number of outcomes = 6

Possible outcomes = 1 or 2 or 3 or 4 or 5 or 6

∴ Probability of getting 1 = `1/6`

Now, probability of getting not 1 = 1 – Probability of getting 1

= `1 - 1/6`

= `5/6`

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Chapter 13: Statistics and Probability - Exercise 13.2 [Page 162]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.2 | Q 9 | Page 162

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