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A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes - Mathematics

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Question

A bag contains slips numbered from 1 to 100. If Fatima chooses a slip at random from the bag, it will either be an odd number or an even number. Since this situation has only two possible outcomes, so, the probability of each is `1/2`. Justify 

Sum

Solution

We know that, between 1 to 100 half numbers are even and half numbers are odd i.e., 50 numbers (2, 4, 6, 8, ..., 96, 98,100) are even and 50 numbers (1, 3, 5, 7, ..., 97, 99) are odd.

So, both events are equally likely.

So, probability of getting even number = `50/100 = 1/2`

And probability of getting odd number = `50/100 = 1/2`

Hence, the probability of each is `1/2`.

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Chapter 13: Statistics and Probability - Exercise 13.2 [Page 163]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 13 Statistics and Probability
Exercise 13.2 | Q 14 | Page 163
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