# What is the probability of rolling an odd number on a fair die

**numbers**. So, the total ways are 20×5 3 =2500. The total

**number**of ways to throw all the dice are 6 6 =46,656, so the

**probability of rolling**exactly three ones is 2500/46656=0.0536.

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**rolling**a

**die**you do not know the result. This is an example of a random experiment. In particular, a random experiment is a process by which we observe something uncertain. After the experiment, the result of the random experiment is known. An outcome is. We can calculate the

**probability**

**of**

**an**event as P ( E) =

**number**

**of**elements in E Total elements in S So, the

**probability**

**of**getting an even

**number**when we roll a

**fair**

**die**

**is**given as P ( getting an even

**number**) = P ( E) = 3 6 = 1 2. Similarly, we calculate the

**probability**

**of**any event (i.e., a subset of S ), as shown in the examples below:.

**odd number**on dice, etc. Sample Space: The set of all possible results or outcomes.

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**die**matches another is 1 out of 6 (1/6) So the

**probability**works out this way: One

**fair die**comes up any

**number**= 1 (100%) Another

**fair die**matches that

**number**= 1/6. Another matches the other two = 1/6. The

**probability**of all three happening is the product of the three

**probabilities**:. For example, in

**rolling**one six-sided

**die**,

**rolling**an even

**number**could occur with one of three outcomes: 2, 4, and 6. When you

**roll**a six-sided

**die**many times, you should not expect any outcome to happen more often than another (assuming that it is a

**fair die**). The outcomes in a situation like this are said to be equally likely. It’s very.

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**roll**the dice? 1000 After being

**rolled**1000 times: 1 is

**rolled**180 times 2 is

**rolled**161 times 3 is

**rolled**190 times 4 is

**rolled**145 times 5 is

**rolled**162 times 6 is

**rolled**162 times Calculation of

**probability**: 1 : 18.00% Calculation of

**probability**: 2 : 16.10% Calculation of

**probability**: 3 : 19.00% Calculation.