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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, so, the probability of each is 1/2 . Justify

Solution:

We know that

Between 1 to 100, 50 numbers are odd and the remaining 50 are even

Odd numbers = 1, 3, 5, 7, 9, …… 97, 99

Even numbers = 2, 4, 6, 8, …… 96, 98, 100

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability = Favourable outcomes/ Total outcomes

Here

Probability of getting an odd number = 50/100 = 1/2

Probability of getting an even number = 50/100 = 1/2

Therefore, the statement is true.

✦ Try This: A bag contains slips numbered from 1 to 50. If Ritika 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.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.2 Problem 14

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

Summary:

The statement “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” is true

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