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# Examine the Following Statement and Comment: If a Die is Thrown Once, There Are Two Possible Outcomes—An Odd Number Or an Even Number. Therefore, the Probability of Obtaining an Odd Number is 1 /2 and the Probability of Obtaining an Even Number is 1/2 - Mathematics

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#### Question

Examine the following statement and comment:

If a die is thrown once, there are two possible outcomes—an odd number or an
even number. Therefore, the probability of obtaining an odd number is 1 /2 and the
probability of obtaining an even number is 1/2
.

#### Solution

This statement is true

When a die is thrown; total no. of possible outcomes = 6 {1, 2, 3, 4, 5, 6}

These outcomes can be taken as even no. & odd no.

P(even no.) = P(2, 4, 6) = 3/6 =1/2
P(odd no.) = 𝑝(1, 3, 5) = 3/6 =1/2

∴ Two outcomes are equally likely

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 16: Probability
Ex. 16.1 | Q: 42.2 | Page no. 23
RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 16: Probability
Ex. 16.1 | Q: 42.2 | Page no. 23